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Finding the Third Proportional to 63,596 and 138,126

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Solution

The third proportional to 63,596 and 138,126 is: 299,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,596 : 138,126 = 138,126 : x
  2. Step 2: Convert to fraction form
    63,596/138,126 = 138,126/x
  3. Step 3: Cross multiply
    63,596x = 138,126 × 138,126
  4. Step 4: Simplify right side
    63,596x = 19,078,791,876
  5. Step 5: Solve for x
    x = 19,078,791,876/63,596
  6. Step 6: Final answer
    x = 299,999.87

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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.