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Finding the Third Proportional to 41,074.88 and 84,092.63

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Solution

The third proportional to 41,074.88 and 84,092.63 is: 172,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,074.88 : 84,092.63 = 84,092.63 : x
  2. Step 2: Convert to fraction form
    41,074.88/84,092.63 = 84,092.63/x
  3. Step 3: Cross multiply
    41,074.88x = 84,092.63 × 84,092.63
  4. Step 4: Simplify right side
    41,074.88x = 7,071,569,579.39
  5. Step 5: Solve for x
    x = 7,071,569,579.39/41,074.88
  6. Step 6: Final answer
    x = 172,162.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.