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Finding the Third Proportional to 107,938.83 and 169,315.95

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Solution

The third proportional to 107,938.83 and 169,315.95 is: 265,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,938.83 : 169,315.95 = 169,315.95 : x
  2. Step 2: Convert to fraction form
    107,938.83/169,315.95 = 169,315.95/x
  3. Step 3: Cross multiply
    107,938.83x = 169,315.95 × 169,315.95
  4. Step 4: Simplify right side
    107,938.83x = 28,667,889,337.07
  5. Step 5: Solve for x
    x = 28,667,889,337.07/107,938.83
  6. Step 6: Final answer
    x = 265,593.85

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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.