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Finding the Third Proportional to 44,181 and 66,123

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Solution

The third proportional to 44,181 and 66,123 is: 98,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,181 : 66,123 = 66,123 : x
  2. Step 2: Convert to fraction form
    44,181/66,123 = 66,123/x
  3. Step 3: Cross multiply
    44,181x = 66,123 × 66,123
  4. Step 4: Simplify right side
    44,181x = 4,372,251,129
  5. Step 5: Solve for x
    x = 4,372,251,129/44,181
  6. Step 6: Final answer
    x = 98,962.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.