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Finding the Third Proportional to 49,990.50 and 107,757

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Solution

The third proportional to 49,990.50 and 107,757 is: 232,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,990.50 : 107,757 = 107,757 : x
  2. Step 2: Convert to fraction form
    49,990.50/107,757 = 107,757/x
  3. Step 3: Cross multiply
    49,990.50x = 107,757 × 107,757
  4. Step 4: Simplify right side
    49,990.50x = 11,611,571,049
  5. Step 5: Solve for x
    x = 11,611,571,049/49,990.50
  6. Step 6: Final answer
    x = 232,275.55

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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.