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Finding the Third Proportional to 63,744 and 138,544

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Solution

The third proportional to 63,744 and 138,544 is: 301,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,744 : 138,544 = 138,544 : x
  2. Step 2: Convert to fraction form
    63,744/138,544 = 138,544/x
  3. Step 3: Cross multiply
    63,744x = 138,544 × 138,544
  4. Step 4: Simplify right side
    63,744x = 19,194,439,936
  5. Step 5: Solve for x
    x = 19,194,439,936/63,744
  6. Step 6: Final answer
    x = 301,117.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.