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Finding the Third Proportional to 63,437 and 138,175

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Solution

The third proportional to 63,437 and 138,175 is: 300,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,437 : 138,175 = 138,175 : x
  2. Step 2: Convert to fraction form
    63,437/138,175 = 138,175/x
  3. Step 3: Cross multiply
    63,437x = 138,175 × 138,175
  4. Step 4: Simplify right side
    63,437x = 19,092,330,625
  5. Step 5: Solve for x
    x = 19,092,330,625/63,437
  6. Step 6: Final answer
    x = 300,965.22

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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.