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Finding the Third Proportional to 62,396 and 95,910

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Solution

The third proportional to 62,396 and 95,910 is: 147,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,396 : 95,910 = 95,910 : x
  2. Step 2: Convert to fraction form
    62,396/95,910 = 95,910/x
  3. Step 3: Cross multiply
    62,396x = 95,910 × 95,910
  4. Step 4: Simplify right side
    62,396x = 9,198,728,100
  5. Step 5: Solve for x
    x = 9,198,728,100/62,396
  6. Step 6: Final answer
    x = 147,424.96

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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.