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Finding the Third Proportional to 136,750 and 206,951

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Solution

The third proportional to 136,750 and 206,951 is: 313,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,750 : 206,951 = 206,951 : x
  2. Step 2: Convert to fraction form
    136,750/206,951 = 206,951/x
  3. Step 3: Cross multiply
    136,750x = 206,951 × 206,951
  4. Step 4: Simplify right side
    136,750x = 42,828,716,401
  5. Step 5: Solve for x
    x = 42,828,716,401/136,750
  6. Step 6: Final answer
    x = 313,189.88

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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.