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Finding the Third Proportional to 95,420 and 207,256

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Solution

The third proportional to 95,420 and 207,256 is: 450,168.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,420 : 207,256 = 207,256 : x
  2. Step 2: Convert to fraction form
    95,420/207,256 = 207,256/x
  3. Step 3: Cross multiply
    95,420x = 207,256 × 207,256
  4. Step 4: Simplify right side
    95,420x = 42,955,049,536
  5. Step 5: Solve for x
    x = 42,955,049,536/95,420
  6. Step 6: Final answer
    x = 450,168.20

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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.