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Finding the Third Proportional to 78,181 and 170,701

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Solution

The third proportional to 78,181 and 170,701 is: 372,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,181 : 170,701 = 170,701 : x
  2. Step 2: Convert to fraction form
    78,181/170,701 = 170,701/x
  3. Step 3: Cross multiply
    78,181x = 170,701 × 170,701
  4. Step 4: Simplify right side
    78,181x = 29,138,831,401
  5. Step 5: Solve for x
    x = 29,138,831,401/78,181
  6. Step 6: Final answer
    x = 372,709.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.