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Finding the Third Proportional to 95,412 and 207,225

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Solution

The third proportional to 95,412 and 207,225 is: 450,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,412 : 207,225 = 207,225 : x
  2. Step 2: Convert to fraction form
    95,412/207,225 = 207,225/x
  3. Step 3: Cross multiply
    95,412x = 207,225 × 207,225
  4. Step 4: Simplify right side
    95,412x = 42,942,200,625
  5. Step 5: Solve for x
    x = 42,942,200,625/95,412
  6. Step 6: Final answer
    x = 450,071.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.