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Finding the Third Proportional to 61,442 and 90,147

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Solution

The third proportional to 61,442 and 90,147 is: 132,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,442 : 90,147 = 90,147 : x
  2. Step 2: Convert to fraction form
    61,442/90,147 = 90,147/x
  3. Step 3: Cross multiply
    61,442x = 90,147 × 90,147
  4. Step 4: Simplify right side
    61,442x = 8,126,481,609
  5. Step 5: Solve for x
    x = 8,126,481,609/61,442
  6. Step 6: Final answer
    x = 132,262.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.