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Finding the Third Proportional to 57,632 and 124,264

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Solution

The third proportional to 57,632 and 124,264 is: 267,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,632 : 124,264 = 124,264 : x
  2. Step 2: Convert to fraction form
    57,632/124,264 = 124,264/x
  3. Step 3: Cross multiply
    57,632x = 124,264 × 124,264
  4. Step 4: Simplify right side
    57,632x = 15,441,541,696
  5. Step 5: Solve for x
    x = 15,441,541,696/57,632
  6. Step 6: Final answer
    x = 267,933.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.