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Finding the Third Proportional to 43,753 and 95,414

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Solution

The third proportional to 43,753 and 95,414 is: 208,073.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,753 : 95,414 = 95,414 : x
  2. Step 2: Convert to fraction form
    43,753/95,414 = 95,414/x
  3. Step 3: Cross multiply
    43,753x = 95,414 × 95,414
  4. Step 4: Simplify right side
    43,753x = 9,103,831,396
  5. Step 5: Solve for x
    x = 9,103,831,396/43,753
  6. Step 6: Final answer
    x = 208,073.31

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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.