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Finding the Third Proportional to 62,234 and 95,658

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Solution

The third proportional to 62,234 and 95,658 is: 147,033.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,234 : 95,658 = 95,658 : x
  2. Step 2: Convert to fraction form
    62,234/95,658 = 95,658/x
  3. Step 3: Cross multiply
    62,234x = 95,658 × 95,658
  4. Step 4: Simplify right side
    62,234x = 9,150,452,964
  5. Step 5: Solve for x
    x = 9,150,452,964/62,234
  6. Step 6: Final answer
    x = 147,033.02

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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.