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Finding the Third Proportional to 63,902.75 and 138,383

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Solution

The third proportional to 63,902.75 and 138,383 is: 299,671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,902.75 : 138,383 = 138,383 : x
  2. Step 2: Convert to fraction form
    63,902.75/138,383 = 138,383/x
  3. Step 3: Cross multiply
    63,902.75x = 138,383 × 138,383
  4. Step 4: Simplify right side
    63,902.75x = 19,149,854,689
  5. Step 5: Solve for x
    x = 19,149,854,689/63,902.75
  6. Step 6: Final answer
    x = 299,671.84

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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.