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Finding the Third Proportional to 80,784.75 and 123,364.13

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Solution

The third proportional to 80,784.75 and 123,364.13 is: 188,385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,784.75 : 123,364.13 = 123,364.13 : x
  2. Step 2: Convert to fraction form
    80,784.75/123,364.13 = 123,364.13/x
  3. Step 3: Cross multiply
    80,784.75x = 123,364.13 × 123,364.13
  4. Step 4: Simplify right side
    80,784.75x = 15,218,707,337.02
  5. Step 5: Solve for x
    x = 15,218,707,337.02/80,784.75
  6. Step 6: Final answer
    x = 188,385.89

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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.