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Finding the Third Proportional to 129,014 and 182,181

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Solution

The third proportional to 129,014 and 182,181 is: 257,258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,014 : 182,181 = 182,181 : x
  2. Step 2: Convert to fraction form
    129,014/182,181 = 182,181/x
  3. Step 3: Cross multiply
    129,014x = 182,181 × 182,181
  4. Step 4: Simplify right side
    129,014x = 33,189,916,761
  5. Step 5: Solve for x
    x = 33,189,916,761/129,014
  6. Step 6: Final answer
    x = 257,258.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.