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Finding the Third Proportional to 61,924.50 and 131,847.75

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Solution

The third proportional to 61,924.50 and 131,847.75 is: 280,726.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,924.50 : 131,847.75 = 131,847.75 : x
  2. Step 2: Convert to fraction form
    61,924.50/131,847.75 = 131,847.75/x
  3. Step 3: Cross multiply
    61,924.50x = 131,847.75 × 131,847.75
  4. Step 4: Simplify right side
    61,924.50x = 17,383,829,180.06
  5. Step 5: Solve for x
    x = 17,383,829,180.06/61,924.50
  6. Step 6: Final answer
    x = 280,726.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.