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Finding the Third Proportional to 61,177.50 and 135,456.75

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Solution

The third proportional to 61,177.50 and 135,456.75 is: 299,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,177.50 : 135,456.75 = 135,456.75 : x
  2. Step 2: Convert to fraction form
    61,177.50/135,456.75 = 135,456.75/x
  3. Step 3: Cross multiply
    61,177.50x = 135,456.75 × 135,456.75
  4. Step 4: Simplify right side
    61,177.50x = 18,348,531,120.56
  5. Step 5: Solve for x
    x = 18,348,531,120.56/61,177.50
  6. Step 6: Final answer
    x = 299,922.87

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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.