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Finding the Third Proportional to 62,225 and 95,698

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Solution

The third proportional to 62,225 and 95,698 is: 147,177.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,225 : 95,698 = 95,698 : x
  2. Step 2: Convert to fraction form
    62,225/95,698 = 95,698/x
  3. Step 3: Cross multiply
    62,225x = 95,698 × 95,698
  4. Step 4: Simplify right side
    62,225x = 9,158,107,204
  5. Step 5: Solve for x
    x = 9,158,107,204/62,225
  6. Step 6: Final answer
    x = 147,177.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.