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Finding the Third Proportional to 71,860 and 152,792

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Solution

The third proportional to 71,860 and 152,792 is: 324,873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,860 : 152,792 = 152,792 : x
  2. Step 2: Convert to fraction form
    71,860/152,792 = 152,792/x
  3. Step 3: Cross multiply
    71,860x = 152,792 × 152,792
  4. Step 4: Simplify right side
    71,860x = 23,345,395,264
  5. Step 5: Solve for x
    x = 23,345,395,264/71,860
  6. Step 6: Final answer
    x = 324,873.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.