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Finding the Third Proportional to 81,658.13 and 175,830.75

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Solution

The third proportional to 81,658.13 and 175,830.75 is: 378,608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,658.13 : 175,830.75 = 175,830.75 : x
  2. Step 2: Convert to fraction form
    81,658.13/175,830.75 = 175,830.75/x
  3. Step 3: Cross multiply
    81,658.13x = 175,830.75 × 175,830.75
  4. Step 4: Simplify right side
    81,658.13x = 30,916,452,645.56
  5. Step 5: Solve for x
    x = 30,916,452,645.56/81,658.13
  6. Step 6: Final answer
    x = 378,608.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.