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Finding the Third Proportional to 44,195 and 90,940

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Solution

The third proportional to 44,195 and 90,940 is: 187,127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,195 : 90,940 = 90,940 : x
  2. Step 2: Convert to fraction form
    44,195/90,940 = 90,940/x
  3. Step 3: Cross multiply
    44,195x = 90,940 × 90,940
  4. Step 4: Simplify right side
    44,195x = 8,270,083,600
  5. Step 5: Solve for x
    x = 8,270,083,600/44,195
  6. Step 6: Final answer
    x = 187,127.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.