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Finding the Third Proportional to 61,636 and 95,626

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Solution

The third proportional to 61,636 and 95,626 is: 148,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,636 : 95,626 = 95,626 : x
  2. Step 2: Convert to fraction form
    61,636/95,626 = 95,626/x
  3. Step 3: Cross multiply
    61,636x = 95,626 × 95,626
  4. Step 4: Simplify right side
    61,636x = 9,144,331,876
  5. Step 5: Solve for x
    x = 9,144,331,876/61,636
  6. Step 6: Final answer
    x = 148,360.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.