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Finding the Third Proportional to 96,642 and 212,292

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Solution

The third proportional to 96,642 and 212,292 is: 466,338.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,642 : 212,292 = 212,292 : x
  2. Step 2: Convert to fraction form
    96,642/212,292 = 212,292/x
  3. Step 3: Cross multiply
    96,642x = 212,292 × 212,292
  4. Step 4: Simplify right side
    96,642x = 45,067,893,264
  5. Step 5: Solve for x
    x = 45,067,893,264/96,642
  6. Step 6: Final answer
    x = 466,338.58

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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.