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Finding the Third Proportional to 57,643 and 123,898

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Solution

The third proportional to 57,643 and 123,898 is: 266,306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,643 : 123,898 = 123,898 : x
  2. Step 2: Convert to fraction form
    57,643/123,898 = 123,898/x
  3. Step 3: Cross multiply
    57,643x = 123,898 × 123,898
  4. Step 4: Simplify right side
    57,643x = 15,350,714,404
  5. Step 5: Solve for x
    x = 15,350,714,404/57,643
  6. Step 6: Final answer
    x = 266,306.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.