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Finding the Third Proportional to 98,754 and 212,493

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Solution

The third proportional to 98,754 and 212,493 is: 457,229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,754 : 212,493 = 212,493 : x
  2. Step 2: Convert to fraction form
    98,754/212,493 = 212,493/x
  3. Step 3: Cross multiply
    98,754x = 212,493 × 212,493
  4. Step 4: Simplify right side
    98,754x = 45,153,275,049
  5. Step 5: Solve for x
    x = 45,153,275,049/98,754
  6. Step 6: Final answer
    x = 457,229.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.