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Finding the Third Proportional to 85,331 and 113,230

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Solution

The third proportional to 85,331 and 113,230 is: 150,250.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,331 : 113,230 = 113,230 : x
  2. Step 2: Convert to fraction form
    85,331/113,230 = 113,230/x
  3. Step 3: Cross multiply
    85,331x = 113,230 × 113,230
  4. Step 4: Simplify right side
    85,331x = 12,821,032,900
  5. Step 5: Solve for x
    x = 12,821,032,900/85,331
  6. Step 6: Final answer
    x = 150,250.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.