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Finding the Third Proportional to 44,229 and 90,761

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Solution

The third proportional to 44,229 and 90,761 is: 186,247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,229 : 90,761 = 90,761 : x
  2. Step 2: Convert to fraction form
    44,229/90,761 = 90,761/x
  3. Step 3: Cross multiply
    44,229x = 90,761 × 90,761
  4. Step 4: Simplify right side
    44,229x = 8,237,559,121
  5. Step 5: Solve for x
    x = 8,237,559,121/44,229
  6. Step 6: Final answer
    x = 186,247.92

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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.