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Finding the Third Proportional to 41,129 and 85,488

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Solution

The third proportional to 41,129 and 85,488 is: 177,689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,129 : 85,488 = 85,488 : x
  2. Step 2: Convert to fraction form
    41,129/85,488 = 85,488/x
  3. Step 3: Cross multiply
    41,129x = 85,488 × 85,488
  4. Step 4: Simplify right side
    41,129x = 7,308,198,144
  5. Step 5: Solve for x
    x = 7,308,198,144/41,129
  6. Step 6: Final answer
    x = 177,689.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.