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Finding the Third Proportional to 62,747.50 and 122,342.50

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Solution

The third proportional to 62,747.50 and 122,342.50 is: 238,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,747.50 : 122,342.50 = 122,342.50 : x
  2. Step 2: Convert to fraction form
    62,747.50/122,342.50 = 122,342.50/x
  3. Step 3: Cross multiply
    62,747.50x = 122,342.50 × 122,342.50
  4. Step 4: Simplify right side
    62,747.50x = 14,967,687,306.25
  5. Step 5: Solve for x
    x = 14,967,687,306.25/62,747.50
  6. Step 6: Final answer
    x = 238,538.38

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.