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Finding the Third Proportional to 59,861 and 89,792

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Solution

The third proportional to 59,861 and 89,792 is: 134,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,861 : 89,792 = 89,792 : x
  2. Step 2: Convert to fraction form
    59,861/89,792 = 89,792/x
  3. Step 3: Cross multiply
    59,861x = 89,792 × 89,792
  4. Step 4: Simplify right side
    59,861x = 8,062,603,264
  5. Step 5: Solve for x
    x = 8,062,603,264/59,861
  6. Step 6: Final answer
    x = 134,688.75

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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.