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Finding the Third Proportional to 39,513 and 95,223

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Solution

The third proportional to 39,513 and 95,223 is: 229,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,513 : 95,223 = 95,223 : x
  2. Step 2: Convert to fraction form
    39,513/95,223 = 95,223/x
  3. Step 3: Cross multiply
    39,513x = 95,223 × 95,223
  4. Step 4: Simplify right side
    39,513x = 9,067,419,729
  5. Step 5: Solve for x
    x = 9,067,419,729/39,513
  6. Step 6: Final answer
    x = 229,479.40

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.