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Finding the Third Proportional to 91,793 and 129,256

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Solution

The third proportional to 91,793 and 129,256 is: 182,008.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,793 : 129,256 = 129,256 : x
  2. Step 2: Convert to fraction form
    91,793/129,256 = 129,256/x
  3. Step 3: Cross multiply
    91,793x = 129,256 × 129,256
  4. Step 4: Simplify right side
    91,793x = 16,707,113,536
  5. Step 5: Solve for x
    x = 16,707,113,536/91,793
  6. Step 6: Final answer
    x = 182,008.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.