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Finding the Third Proportional to 41,403 and 85,758

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Solution

The third proportional to 41,403 and 85,758 is: 177,630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,403 : 85,758 = 85,758 : x
  2. Step 2: Convert to fraction form
    41,403/85,758 = 85,758/x
  3. Step 3: Cross multiply
    41,403x = 85,758 × 85,758
  4. Step 4: Simplify right side
    41,403x = 7,354,434,564
  5. Step 5: Solve for x
    x = 7,354,434,564/41,403
  6. Step 6: Final answer
    x = 177,630.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.