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Finding the Third Proportional to 95,034 and 207,885

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Solution

The third proportional to 95,034 and 207,885 is: 454,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,034 : 207,885 = 207,885 : x
  2. Step 2: Convert to fraction form
    95,034/207,885 = 207,885/x
  3. Step 3: Cross multiply
    95,034x = 207,885 × 207,885
  4. Step 4: Simplify right side
    95,034x = 43,216,173,225
  5. Step 5: Solve for x
    x = 43,216,173,225/95,034
  6. Step 6: Final answer
    x = 454,744.34

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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.