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Finding the Third Proportional to 95,050 and 207,812

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Solution

The third proportional to 95,050 and 207,812 is: 454,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,050 : 207,812 = 207,812 : x
  2. Step 2: Convert to fraction form
    95,050/207,812 = 207,812/x
  3. Step 3: Cross multiply
    95,050x = 207,812 × 207,812
  4. Step 4: Simplify right side
    95,050x = 43,185,827,344
  5. Step 5: Solve for x
    x = 43,185,827,344/95,050
  6. Step 6: Final answer
    x = 454,348.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.