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Finding the Third Proportional to 61,568 and 95,632

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Solution

The third proportional to 61,568 and 95,632 is: 148,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,568 : 95,632 = 95,632 : x
  2. Step 2: Convert to fraction form
    61,568/95,632 = 95,632/x
  3. Step 3: Cross multiply
    61,568x = 95,632 × 95,632
  4. Step 4: Simplify right side
    61,568x = 9,145,479,424
  5. Step 5: Solve for x
    x = 9,145,479,424/61,568
  6. Step 6: Final answer
    x = 148,542.74

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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.