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Finding the Third Proportional to 49,344 and 106,569

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Solution

The third proportional to 49,344 and 106,569 is: 230,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344 : 106,569 = 106,569 : x
  2. Step 2: Convert to fraction form
    49,344/106,569 = 106,569/x
  3. Step 3: Cross multiply
    49,344x = 106,569 × 106,569
  4. Step 4: Simplify right side
    49,344x = 11,356,951,761
  5. Step 5: Solve for x
    x = 11,356,951,761/49,344
  6. Step 6: Final answer
    x = 230,158.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.