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Finding the Third Proportional to 114,001.50 and 176,538.75

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Solution

The third proportional to 114,001.50 and 176,538.75 is: 273,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,001.50 : 176,538.75 = 176,538.75 : x
  2. Step 2: Convert to fraction form
    114,001.50/176,538.75 = 176,538.75/x
  3. Step 3: Cross multiply
    114,001.50x = 176,538.75 × 176,538.75
  4. Step 4: Simplify right side
    114,001.50x = 31,165,930,251.56
  5. Step 5: Solve for x
    x = 31,165,930,251.56/114,001.50
  6. Step 6: Final answer
    x = 273,381.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.