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Finding the Third Proportional to 107,824.50 and 168,760.13

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Solution

The third proportional to 107,824.50 and 168,760.13 is: 264,132.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,824.50 : 168,760.13 = 168,760.13 : x
  2. Step 2: Convert to fraction form
    107,824.50/168,760.13 = 168,760.13/x
  3. Step 3: Cross multiply
    107,824.50x = 168,760.13 × 168,760.13
  4. Step 4: Simplify right side
    107,824.50x = 28,479,979,790.02
  5. Step 5: Solve for x
    x = 28,479,979,790.02/107,824.50
  6. Step 6: Final answer
    x = 264,132.73

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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.