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Finding the Third Proportional to 49,654.69 and 75,972.19

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Solution

The third proportional to 49,654.69 and 75,972.19 is: 116,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,654.69 : 75,972.19 = 75,972.19 : x
  2. Step 2: Convert to fraction form
    49,654.69/75,972.19 = 75,972.19/x
  3. Step 3: Cross multiply
    49,654.69x = 75,972.19 × 75,972.19
  4. Step 4: Simplify right side
    49,654.69x = 5,771,773,273.54
  5. Step 5: Solve for x
    x = 5,771,773,273.54/49,654.69
  6. Step 6: Final answer
    x = 116,238.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.