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Finding the Third Proportional to 36,304.13 and 78,169.13

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Solution

The third proportional to 36,304.13 and 78,169.13 is: 168,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,304.13 : 78,169.13 = 78,169.13 : x
  2. Step 2: Convert to fraction form
    36,304.13/78,169.13 = 78,169.13/x
  3. Step 3: Cross multiply
    36,304.13x = 78,169.13 × 78,169.13
  4. Step 4: Simplify right side
    36,304.13x = 6,110,412,103.27
  5. Step 5: Solve for x
    x = 6,110,412,103.27/36,304.13
  6. Step 6: Final answer
    x = 168,311.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.