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Finding the Third Proportional to 32,181 and 67,278

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Solution

The third proportional to 32,181 and 67,278 is: 140,652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,181 : 67,278 = 67,278 : x
  2. Step 2: Convert to fraction form
    32,181/67,278 = 67,278/x
  3. Step 3: Cross multiply
    32,181x = 67,278 × 67,278
  4. Step 4: Simplify right side
    32,181x = 4,526,329,284
  5. Step 5: Solve for x
    x = 4,526,329,284/32,181
  6. Step 6: Final answer
    x = 140,652.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.