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Finding the Third Proportional to 63,738 and 138,654

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Solution

The third proportional to 63,738 and 138,654 is: 301,624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,738 : 138,654 = 138,654 : x
  2. Step 2: Convert to fraction form
    63,738/138,654 = 138,654/x
  3. Step 3: Cross multiply
    63,738x = 138,654 × 138,654
  4. Step 4: Simplify right side
    63,738x = 19,224,931,716
  5. Step 5: Solve for x
    x = 19,224,931,716/63,738
  6. Step 6: Final answer
    x = 301,624.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.