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Finding the Third Proportional to 113,868.28 and 162,207.56

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Solution

The third proportional to 113,868.28 and 162,207.56 is: 231,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,868.28 : 162,207.56 = 162,207.56 : x
  2. Step 2: Convert to fraction form
    113,868.28/162,207.56 = 162,207.56/x
  3. Step 3: Cross multiply
    113,868.28x = 162,207.56 × 162,207.56
  4. Step 4: Simplify right side
    113,868.28x = 26,311,293,332.19
  5. Step 5: Solve for x
    x = 26,311,293,332.19/113,868.28
  6. Step 6: Final answer
    x = 231,067.80

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.