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Finding the Third Proportional to 60,874 and 123,428

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Solution

The third proportional to 60,874 and 123,428 is: 250,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,874 : 123,428 = 123,428 : x
  2. Step 2: Convert to fraction form
    60,874/123,428 = 123,428/x
  3. Step 3: Cross multiply
    60,874x = 123,428 × 123,428
  4. Step 4: Simplify right side
    60,874x = 15,234,471,184
  5. Step 5: Solve for x
    x = 15,234,471,184/60,874
  6. Step 6: Final answer
    x = 250,262.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.