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Finding the Third Proportional to 44,586 and 94,950

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Solution

The third proportional to 44,586 and 94,950 is: 202,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,586 : 94,950 = 94,950 : x
  2. Step 2: Convert to fraction form
    44,586/94,950 = 94,950/x
  3. Step 3: Cross multiply
    44,586x = 94,950 × 94,950
  4. Step 4: Simplify right side
    44,586x = 9,015,502,500
  5. Step 5: Solve for x
    x = 9,015,502,500/44,586
  6. Step 6: Final answer
    x = 202,204.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.