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Finding the Third Proportional to 107,946.94 and 169,315.88

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Solution

The third proportional to 107,946.94 and 169,315.88 is: 265,573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,946.94 : 169,315.88 = 169,315.88 : x
  2. Step 2: Convert to fraction form
    107,946.94/169,315.88 = 169,315.88/x
  3. Step 3: Cross multiply
    107,946.94x = 169,315.88 × 169,315.88
  4. Step 4: Simplify right side
    107,946.94x = 28,667,865,527.02
  5. Step 5: Solve for x
    x = 28,667,865,527.02/107,946.94
  6. Step 6: Final answer
    x = 265,573.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.