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Finding the Third Proportional to 61,780.50 and 144,366.75

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Solution

The third proportional to 61,780.50 and 144,366.75 is: 337,351.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,780.50 : 144,366.75 = 144,366.75 : x
  2. Step 2: Convert to fraction form
    61,780.50/144,366.75 = 144,366.75/x
  3. Step 3: Cross multiply
    61,780.50x = 144,366.75 × 144,366.75
  4. Step 4: Simplify right side
    61,780.50x = 20,841,758,505.56
  5. Step 5: Solve for x
    x = 20,841,758,505.56/61,780.50
  6. Step 6: Final answer
    x = 337,351.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.