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Finding the Third Proportional to 136,586.81 and 206,785.13

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Solution

The third proportional to 136,586.81 and 206,785.13 is: 313,061.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,586.81 : 206,785.13 = 206,785.13 : x
  2. Step 2: Convert to fraction form
    136,586.81/206,785.13 = 206,785.13/x
  3. Step 3: Cross multiply
    136,586.81x = 206,785.13 × 206,785.13
  4. Step 4: Simplify right side
    136,586.81x = 42,760,087,921.27
  5. Step 5: Solve for x
    x = 42,760,087,921.27/136,586.81
  6. Step 6: Final answer
    x = 313,061.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.