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Finding the Third Proportional to 57,872 and 86,792

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Solution

The third proportional to 57,872 and 86,792 is: 130,164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,872 : 86,792 = 86,792 : x
  2. Step 2: Convert to fraction form
    57,872/86,792 = 86,792/x
  3. Step 3: Cross multiply
    57,872x = 86,792 × 86,792
  4. Step 4: Simplify right side
    57,872x = 7,532,851,264
  5. Step 5: Solve for x
    x = 7,532,851,264/57,872
  6. Step 6: Final answer
    x = 130,164.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.