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Finding the Third Proportional to 135,748 and 206,540

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Solution

The third proportional to 135,748 and 206,540 is: 314,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,748 : 206,540 = 206,540 : x
  2. Step 2: Convert to fraction form
    135,748/206,540 = 206,540/x
  3. Step 3: Cross multiply
    135,748x = 206,540 × 206,540
  4. Step 4: Simplify right side
    135,748x = 42,658,771,600
  5. Step 5: Solve for x
    x = 42,658,771,600/135,748
  6. Step 6: Final answer
    x = 314,249.72

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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.