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Finding the Third Proportional to 65,691.75 and 144,504.75

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Solution

The third proportional to 65,691.75 and 144,504.75 is: 317,872.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,691.75 : 144,504.75 = 144,504.75 : x
  2. Step 2: Convert to fraction form
    65,691.75/144,504.75 = 144,504.75/x
  3. Step 3: Cross multiply
    65,691.75x = 144,504.75 × 144,504.75
  4. Step 4: Simplify right side
    65,691.75x = 20,881,622,772.56
  5. Step 5: Solve for x
    x = 20,881,622,772.56/65,691.75
  6. Step 6: Final answer
    x = 317,872.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.