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Finding the Third Proportional to 73,830.38 and 158,149.13

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Solution

The third proportional to 73,830.38 and 158,149.13 is: 338,764.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,830.38 : 158,149.13 = 158,149.13 : x
  2. Step 2: Convert to fraction form
    73,830.38/158,149.13 = 158,149.13/x
  3. Step 3: Cross multiply
    73,830.38x = 158,149.13 × 158,149.13
  4. Step 4: Simplify right side
    73,830.38x = 25,011,145,738.27
  5. Step 5: Solve for x
    x = 25,011,145,738.27/73,830.38
  6. Step 6: Final answer
    x = 338,764.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.