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Finding the Third Proportional to 44,534 and 90,883

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Solution

The third proportional to 44,534 and 90,883 is: 185,469.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,534 : 90,883 = 90,883 : x
  2. Step 2: Convert to fraction form
    44,534/90,883 = 90,883/x
  3. Step 3: Cross multiply
    44,534x = 90,883 × 90,883
  4. Step 4: Simplify right side
    44,534x = 8,259,719,689
  5. Step 5: Solve for x
    x = 8,259,719,689/44,534
  6. Step 6: Final answer
    x = 185,469.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.