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Finding the Third Proportional to 131,387.06 and 182,007.84

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Solution

The third proportional to 131,387.06 and 182,007.84 is: 252,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,387.06 : 182,007.84 = 182,007.84 : x
  2. Step 2: Convert to fraction form
    131,387.06/182,007.84 = 182,007.84/x
  3. Step 3: Cross multiply
    131,387.06x = 182,007.84 × 182,007.84
  4. Step 4: Simplify right side
    131,387.06x = 33,126,855,186.52
  5. Step 5: Solve for x
    x = 33,126,855,186.52/131,387.06
  6. Step 6: Final answer
    x = 252,131.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.