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Finding the Third Proportional to 96,539 and 212,725

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Solution

The third proportional to 96,539 and 212,725 is: 468,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,539 : 212,725 = 212,725 : x
  2. Step 2: Convert to fraction form
    96,539/212,725 = 212,725/x
  3. Step 3: Cross multiply
    96,539x = 212,725 × 212,725
  4. Step 4: Simplify right side
    96,539x = 45,251,925,625
  5. Step 5: Solve for x
    x = 45,251,925,625/96,539
  6. Step 6: Final answer
    x = 468,742.43

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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.