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Finding the Third Proportional to 83,961 and 180,342

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Solution

The third proportional to 83,961 and 180,342 is: 387,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,961 : 180,342 = 180,342 : x
  2. Step 2: Convert to fraction form
    83,961/180,342 = 180,342/x
  3. Step 3: Cross multiply
    83,961x = 180,342 × 180,342
  4. Step 4: Simplify right side
    83,961x = 32,523,236,964
  5. Step 5: Solve for x
    x = 32,523,236,964/83,961
  6. Step 6: Final answer
    x = 387,361.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.