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Finding the Third Proportional to 62,452.50 and 95,241

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Solution

The third proportional to 62,452.50 and 95,241 is: 145,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,452.50 : 95,241 = 95,241 : x
  2. Step 2: Convert to fraction form
    62,452.50/95,241 = 95,241/x
  3. Step 3: Cross multiply
    62,452.50x = 95,241 × 95,241
  4. Step 4: Simplify right side
    62,452.50x = 9,070,848,081
  5. Step 5: Solve for x
    x = 9,070,848,081/62,452.50
  6. Step 6: Final answer
    x = 145,243.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.