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Finding the Third Proportional to 49,902.75 and 108,114.75

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Solution

The third proportional to 49,902.75 and 108,114.75 is: 234,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,902.75 : 108,114.75 = 108,114.75 : x
  2. Step 2: Convert to fraction form
    49,902.75/108,114.75 = 108,114.75/x
  3. Step 3: Cross multiply
    49,902.75x = 108,114.75 × 108,114.75
  4. Step 4: Simplify right side
    49,902.75x = 11,688,799,167.56
  5. Step 5: Solve for x
    x = 11,688,799,167.56/49,902.75
  6. Step 6: Final answer
    x = 234,231.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.