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Finding the Third Proportional to 114,049.50 and 176,610.75

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Solution

The third proportional to 114,049.50 and 176,610.75 is: 273,489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,049.50 : 176,610.75 = 176,610.75 : x
  2. Step 2: Convert to fraction form
    114,049.50/176,610.75 = 176,610.75/x
  3. Step 3: Cross multiply
    114,049.50x = 176,610.75 × 176,610.75
  4. Step 4: Simplify right side
    114,049.50x = 31,191,357,015.56
  5. Step 5: Solve for x
    x = 31,191,357,015.56/114,049.50
  6. Step 6: Final answer
    x = 273,489.64

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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.