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Finding the Third Proportional to 82,422 and 125,217

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Solution

The third proportional to 82,422 and 125,217 is: 190,231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,422 : 125,217 = 125,217 : x
  2. Step 2: Convert to fraction form
    82,422/125,217 = 125,217/x
  3. Step 3: Cross multiply
    82,422x = 125,217 × 125,217
  4. Step 4: Simplify right side
    82,422x = 15,679,297,089
  5. Step 5: Solve for x
    x = 15,679,297,089/82,422
  6. Step 6: Final answer
    x = 190,231.94

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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.