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Finding the Third Proportional to 61,398.75 and 135,701.25

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Solution

The third proportional to 61,398.75 and 135,701.25 is: 299,921.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,398.75 : 135,701.25 = 135,701.25 : x
  2. Step 2: Convert to fraction form
    61,398.75/135,701.25 = 135,701.25/x
  3. Step 3: Cross multiply
    61,398.75x = 135,701.25 × 135,701.25
  4. Step 4: Simplify right side
    61,398.75x = 18,414,829,251.56
  5. Step 5: Solve for x
    x = 18,414,829,251.56/61,398.75
  6. Step 6: Final answer
    x = 299,921.89

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.