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Finding the Third Proportional to 75,174.75 and 116,002.13

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Solution

The third proportional to 75,174.75 and 116,002.13 is: 179,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,174.75 : 116,002.13 = 116,002.13 : x
  2. Step 2: Convert to fraction form
    75,174.75/116,002.13 = 116,002.13/x
  3. Step 3: Cross multiply
    75,174.75x = 116,002.13 × 116,002.13
  4. Step 4: Simplify right side
    75,174.75x = 13,456,493,004.52
  5. Step 5: Solve for x
    x = 13,456,493,004.52/75,174.75
  6. Step 6: Final answer
    x = 179,002.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.