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Finding the Third Proportional to 83,049.75 and 128,841.75

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Solution

The third proportional to 83,049.75 and 128,841.75 is: 199,882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,049.75 : 128,841.75 = 128,841.75 : x
  2. Step 2: Convert to fraction form
    83,049.75/128,841.75 = 128,841.75/x
  3. Step 3: Cross multiply
    83,049.75x = 128,841.75 × 128,841.75
  4. Step 4: Simplify right side
    83,049.75x = 16,600,196,543.06
  5. Step 5: Solve for x
    x = 16,600,196,543.06/83,049.75
  6. Step 6: Final answer
    x = 199,882.56

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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.