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Finding the Third Proportional to 62,632 and 96,864

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Solution

The third proportional to 62,632 and 96,864 is: 149,805.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,632 : 96,864 = 96,864 : x
  2. Step 2: Convert to fraction form
    62,632/96,864 = 96,864/x
  3. Step 3: Cross multiply
    62,632x = 96,864 × 96,864
  4. Step 4: Simplify right side
    62,632x = 9,382,634,496
  5. Step 5: Solve for x
    x = 9,382,634,496/62,632
  6. Step 6: Final answer
    x = 149,805.76

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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.