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Finding the Third Proportional to 86,591.53 and 123,823.69

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Solution

The third proportional to 86,591.53 and 123,823.69 is: 177,064.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,591.53 : 123,823.69 = 123,823.69 : x
  2. Step 2: Convert to fraction form
    86,591.53/123,823.69 = 123,823.69/x
  3. Step 3: Cross multiply
    86,591.53x = 123,823.69 × 123,823.69
  4. Step 4: Simplify right side
    86,591.53x = 15,332,305,586.10
  5. Step 5: Solve for x
    x = 15,332,305,586.10/86,591.53
  6. Step 6: Final answer
    x = 177,064.72

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.