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Finding the Third Proportional to 62,361 and 95,099

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Solution

The third proportional to 62,361 and 95,099 is: 145,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,361 : 95,099 = 95,099 : x
  2. Step 2: Convert to fraction form
    62,361/95,099 = 95,099/x
  3. Step 3: Cross multiply
    62,361x = 95,099 × 95,099
  4. Step 4: Simplify right side
    62,361x = 9,043,819,801
  5. Step 5: Solve for x
    x = 9,043,819,801/62,361
  6. Step 6: Final answer
    x = 145,023.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.