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Finding the Third Proportional to 56,144.39 and 123,052.92

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Solution

The third proportional to 56,144.39 and 123,052.92 is: 269,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,144.39 : 123,052.92 = 123,052.92 : x
  2. Step 2: Convert to fraction form
    56,144.39/123,052.92 = 123,052.92/x
  3. Step 3: Cross multiply
    56,144.39x = 123,052.92 × 123,052.92
  4. Step 4: Simplify right side
    56,144.39x = 15,142,021,581.97
  5. Step 5: Solve for x
    x = 15,142,021,581.97/56,144.39
  6. Step 6: Final answer
    x = 269,697.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.