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Finding the Third Proportional to 63,740 and 138,536

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Solution

The third proportional to 63,740 and 138,536 is: 301,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,740 : 138,536 = 138,536 : x
  2. Step 2: Convert to fraction form
    63,740/138,536 = 138,536/x
  3. Step 3: Cross multiply
    63,740x = 138,536 × 138,536
  4. Step 4: Simplify right side
    63,740x = 19,192,223,296
  5. Step 5: Solve for x
    x = 19,192,223,296/63,740
  6. Step 6: Final answer
    x = 301,101.71

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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.