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Finding the Third Proportional to 136,755 and 206,964

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Solution

The third proportional to 136,755 and 206,964 is: 313,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,755 : 206,964 = 206,964 : x
  2. Step 2: Convert to fraction form
    136,755/206,964 = 206,964/x
  3. Step 3: Cross multiply
    136,755x = 206,964 × 206,964
  4. Step 4: Simplify right side
    136,755x = 42,834,097,296
  5. Step 5: Solve for x
    x = 42,834,097,296/136,755
  6. Step 6: Final answer
    x = 313,217.78

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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.