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Finding the Third Proportional to 83,403 and 129,336

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Solution

The third proportional to 83,403 and 129,336 is: 200,565.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,403 : 129,336 = 129,336 : x
  2. Step 2: Convert to fraction form
    83,403/129,336 = 129,336/x
  3. Step 3: Cross multiply
    83,403x = 129,336 × 129,336
  4. Step 4: Simplify right side
    83,403x = 16,727,800,896
  5. Step 5: Solve for x
    x = 16,727,800,896/83,403
  6. Step 6: Final answer
    x = 200,565.94

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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.