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Finding the Third Proportional to 63,649 and 137,134

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Solution

The third proportional to 63,649 and 137,134 is: 295,460.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,649 : 137,134 = 137,134 : x
  2. Step 2: Convert to fraction form
    63,649/137,134 = 137,134/x
  3. Step 3: Cross multiply
    63,649x = 137,134 × 137,134
  4. Step 4: Simplify right side
    63,649x = 18,805,733,956
  5. Step 5: Solve for x
    x = 18,805,733,956/63,649
  6. Step 6: Final answer
    x = 295,460.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.