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Finding the Third Proportional to 52,758 and 124,542

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Solution

The third proportional to 52,758 and 124,542 is: 293,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,758 : 124,542 = 124,542 : x
  2. Step 2: Convert to fraction form
    52,758/124,542 = 124,542/x
  3. Step 3: Cross multiply
    52,758x = 124,542 × 124,542
  4. Step 4: Simplify right side
    52,758x = 15,510,709,764
  5. Step 5: Solve for x
    x = 15,510,709,764/52,758
  6. Step 6: Final answer
    x = 293,997.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.