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Finding the Third Proportional to 109,246.75 and 147,600.75

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Solution

The third proportional to 109,246.75 and 147,600.75 is: 199,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,246.75 : 147,600.75 = 147,600.75 : x
  2. Step 2: Convert to fraction form
    109,246.75/147,600.75 = 147,600.75/x
  3. Step 3: Cross multiply
    109,246.75x = 147,600.75 × 147,600.75
  4. Step 4: Simplify right side
    109,246.75x = 21,785,981,400.56
  5. Step 5: Solve for x
    x = 21,785,981,400.56/109,246.75
  6. Step 6: Final answer
    x = 199,419.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.