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Finding the Third Proportional to 83,008 and 128,744

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Solution

The third proportional to 83,008 and 128,744 is: 199,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,008 : 128,744 = 128,744 : x
  2. Step 2: Convert to fraction form
    83,008/128,744 = 128,744/x
  3. Step 3: Cross multiply
    83,008x = 128,744 × 128,744
  4. Step 4: Simplify right side
    83,008x = 16,575,017,536
  5. Step 5: Solve for x
    x = 16,575,017,536/83,008
  6. Step 6: Final answer
    x = 199,679.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.