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Finding the Third Proportional to 95,368 and 207,122

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Solution

The third proportional to 95,368 and 207,122 is: 449,831.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,368 : 207,122 = 207,122 : x
  2. Step 2: Convert to fraction form
    95,368/207,122 = 207,122/x
  3. Step 3: Cross multiply
    95,368x = 207,122 × 207,122
  4. Step 4: Simplify right side
    95,368x = 42,899,522,884
  5. Step 5: Solve for x
    x = 42,899,522,884/95,368
  6. Step 6: Final answer
    x = 449,831.42

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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.