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Finding the Third Proportional to 117,141.19 and 252,046.69

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Solution

The third proportional to 117,141.19 and 252,046.69 is: 542,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,141.19 : 252,046.69 = 252,046.69 : x
  2. Step 2: Convert to fraction form
    117,141.19/252,046.69 = 252,046.69/x
  3. Step 3: Cross multiply
    117,141.19x = 252,046.69 × 252,046.69
  4. Step 4: Simplify right side
    117,141.19x = 63,527,532,679.72
  5. Step 5: Solve for x
    x = 63,527,532,679.72/117,141.19
  6. Step 6: Final answer
    x = 542,315.94

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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.