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Finding the Third Proportional to 61,620 and 95,147

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Solution

The third proportional to 61,620 and 95,147 is: 146,915.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,620 : 95,147 = 95,147 : x
  2. Step 2: Convert to fraction form
    61,620/95,147 = 95,147/x
  3. Step 3: Cross multiply
    61,620x = 95,147 × 95,147
  4. Step 4: Simplify right side
    61,620x = 9,052,951,609
  5. Step 5: Solve for x
    x = 9,052,951,609/61,620
  6. Step 6: Final answer
    x = 146,915.80

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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.