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Finding the Third Proportional to 136,313 and 206,922

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Solution

The third proportional to 136,313 and 206,922 is: 314,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,313 : 206,922 = 206,922 : x
  2. Step 2: Convert to fraction form
    136,313/206,922 = 206,922/x
  3. Step 3: Cross multiply
    136,313x = 206,922 × 206,922
  4. Step 4: Simplify right side
    136,313x = 42,816,714,084
  5. Step 5: Solve for x
    x = 42,816,714,084/136,313
  6. Step 6: Final answer
    x = 314,105.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.