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Finding the Third Proportional to 43,041 and 71,127

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Solution

The third proportional to 43,041 and 71,127 is: 117,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,041 : 71,127 = 71,127 : x
  2. Step 2: Convert to fraction form
    43,041/71,127 = 71,127/x
  3. Step 3: Cross multiply
    43,041x = 71,127 × 71,127
  4. Step 4: Simplify right side
    43,041x = 5,059,050,129
  5. Step 5: Solve for x
    x = 5,059,050,129/43,041
  6. Step 6: Final answer
    x = 117,540.26

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.