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Finding the Third Proportional to 83,451.50 and 128,093.50

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Solution

The third proportional to 83,451.50 and 128,093.50 is: 196,616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,451.50 : 128,093.50 = 128,093.50 : x
  2. Step 2: Convert to fraction form
    83,451.50/128,093.50 = 128,093.50/x
  3. Step 3: Cross multiply
    83,451.50x = 128,093.50 × 128,093.50
  4. Step 4: Simplify right side
    83,451.50x = 16,407,944,742.25
  5. Step 5: Solve for x
    x = 16,407,944,742.25/83,451.50
  6. Step 6: Final answer
    x = 196,616.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.