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Finding the Third Proportional to 96,540 and 212,712

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Solution

The third proportional to 96,540 and 212,712 is: 468,680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,540 : 212,712 = 212,712 : x
  2. Step 2: Convert to fraction form
    96,540/212,712 = 212,712/x
  3. Step 3: Cross multiply
    96,540x = 212,712 × 212,712
  4. Step 4: Simplify right side
    96,540x = 45,246,394,944
  5. Step 5: Solve for x
    x = 45,246,394,944/96,540
  6. Step 6: Final answer
    x = 468,680.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.