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Finding the Third Proportional to 62,523 and 136,782

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Solution

The third proportional to 62,523 and 136,782 is: 299,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,523 : 136,782 = 136,782 : x
  2. Step 2: Convert to fraction form
    62,523/136,782 = 136,782/x
  3. Step 3: Cross multiply
    62,523x = 136,782 × 136,782
  4. Step 4: Simplify right side
    62,523x = 18,709,315,524
  5. Step 5: Solve for x
    x = 18,709,315,524/62,523
  6. Step 6: Final answer
    x = 299,238.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.