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Finding the Third Proportional to 63,744 and 96,864

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Solution

The third proportional to 63,744 and 96,864 is: 147,192.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,744 : 96,864 = 96,864 : x
  2. Step 2: Convert to fraction form
    63,744/96,864 = 96,864/x
  3. Step 3: Cross multiply
    63,744x = 96,864 × 96,864
  4. Step 4: Simplify right side
    63,744x = 9,382,634,496
  5. Step 5: Solve for x
    x = 9,382,634,496/63,744
  6. Step 6: Final answer
    x = 147,192.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.