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Finding the Third Proportional to 83,936 and 117,344

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Solution

The third proportional to 83,936 and 117,344 is: 164,048.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,936 : 117,344 = 117,344 : x
  2. Step 2: Convert to fraction form
    83,936/117,344 = 117,344/x
  3. Step 3: Cross multiply
    83,936x = 117,344 × 117,344
  4. Step 4: Simplify right side
    83,936x = 13,769,614,336
  5. Step 5: Solve for x
    x = 13,769,614,336/83,936
  6. Step 6: Final answer
    x = 164,048.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.