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Finding the Third Proportional to 49,626 and 107,999.25

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Solution

The third proportional to 49,626 and 107,999.25 is: 235,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,626 : 107,999.25 = 107,999.25 : x
  2. Step 2: Convert to fraction form
    49,626/107,999.25 = 107,999.25/x
  3. Step 3: Cross multiply
    49,626x = 107,999.25 × 107,999.25
  4. Step 4: Simplify right side
    49,626x = 11,663,838,000.56
  5. Step 5: Solve for x
    x = 11,663,838,000.56/49,626
  6. Step 6: Final answer
    x = 235,034.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.