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Finding the Third Proportional to 56,280 and 123,792

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Solution

The third proportional to 56,280 and 123,792 is: 272,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,280 : 123,792 = 123,792 : x
  2. Step 2: Convert to fraction form
    56,280/123,792 = 123,792/x
  3. Step 3: Cross multiply
    56,280x = 123,792 × 123,792
  4. Step 4: Simplify right side
    56,280x = 15,324,459,264
  5. Step 5: Solve for x
    x = 15,324,459,264/56,280
  6. Step 6: Final answer
    x = 272,289.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.