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Finding the Third Proportional to 135,668 and 207,534

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Solution

The third proportional to 135,668 and 207,534 is: 317,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,668 : 207,534 = 207,534 : x
  2. Step 2: Convert to fraction form
    135,668/207,534 = 207,534/x
  3. Step 3: Cross multiply
    135,668x = 207,534 × 207,534
  4. Step 4: Simplify right side
    135,668x = 43,070,361,156
  5. Step 5: Solve for x
    x = 43,070,361,156/135,668
  6. Step 6: Final answer
    x = 317,468.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.