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Finding the Third Proportional to 41,625.14 and 90,266.91

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Solution

The third proportional to 41,625.14 and 90,266.91 is: 195,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,625.14 : 90,266.91 = 90,266.91 : x
  2. Step 2: Convert to fraction form
    41,625.14/90,266.91 = 90,266.91/x
  3. Step 3: Cross multiply
    41,625.14x = 90,266.91 × 90,266.91
  4. Step 4: Simplify right side
    41,625.14x = 8,148,114,363.95
  5. Step 5: Solve for x
    x = 8,148,114,363.95/41,625.14
  6. Step 6: Final answer
    x = 195,749.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.