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Finding the Third Proportional to 61,338.75 and 131,544.75

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Solution

The third proportional to 61,338.75 and 131,544.75 is: 282,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,338.75 : 131,544.75 = 131,544.75 : x
  2. Step 2: Convert to fraction form
    61,338.75/131,544.75 = 131,544.75/x
  3. Step 3: Cross multiply
    61,338.75x = 131,544.75 × 131,544.75
  4. Step 4: Simplify right side
    61,338.75x = 17,304,021,252.56
  5. Step 5: Solve for x
    x = 17,304,021,252.56/61,338.75
  6. Step 6: Final answer
    x = 282,105.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.