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Finding the Third Proportional to 42,532 and 86,792

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Solution

The third proportional to 42,532 and 86,792 is: 177,110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,532 : 86,792 = 86,792 : x
  2. Step 2: Convert to fraction form
    42,532/86,792 = 86,792/x
  3. Step 3: Cross multiply
    42,532x = 86,792 × 86,792
  4. Step 4: Simplify right side
    42,532x = 7,532,851,264
  5. Step 5: Solve for x
    x = 7,532,851,264/42,532
  6. Step 6: Final answer
    x = 177,110.21

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.