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Finding the Third Proportional to 66,001 and 140,181

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Solution

The third proportional to 66,001 and 140,181 is: 297,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,001 : 140,181 = 140,181 : x
  2. Step 2: Convert to fraction form
    66,001/140,181 = 140,181/x
  3. Step 3: Cross multiply
    66,001x = 140,181 × 140,181
  4. Step 4: Simplify right side
    66,001x = 19,650,712,761
  5. Step 5: Solve for x
    x = 19,650,712,761/66,001
  6. Step 6: Final answer
    x = 297,733.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.