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Finding the Third Proportional to 49,861 and 107,548

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Solution

The third proportional to 49,861 and 107,548 is: 231,976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,861 : 107,548 = 107,548 : x
  2. Step 2: Convert to fraction form
    49,861/107,548 = 107,548/x
  3. Step 3: Cross multiply
    49,861x = 107,548 × 107,548
  4. Step 4: Simplify right side
    49,861x = 11,566,572,304
  5. Step 5: Solve for x
    x = 11,566,572,304/49,861
  6. Step 6: Final answer
    x = 231,976.34

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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.