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Finding the Third Proportional to 71,601.75 and 109,287

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Solution

The third proportional to 71,601.75 and 109,287 is: 166,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,601.75 : 109,287 = 109,287 : x
  2. Step 2: Convert to fraction form
    71,601.75/109,287 = 109,287/x
  3. Step 3: Cross multiply
    71,601.75x = 109,287 × 109,287
  4. Step 4: Simplify right side
    71,601.75x = 11,943,648,369
  5. Step 5: Solve for x
    x = 11,943,648,369/71,601.75
  6. Step 6: Final answer
    x = 166,806.65

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.