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Finding the Third Proportional to 83,451 and 128,092.75

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Solution

The third proportional to 83,451 and 128,092.75 is: 196,615.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,451 : 128,092.75 = 128,092.75 : x
  2. Step 2: Convert to fraction form
    83,451/128,092.75 = 128,092.75/x
  3. Step 3: Cross multiply
    83,451x = 128,092.75 × 128,092.75
  4. Step 4: Simplify right side
    83,451x = 16,407,752,602.56
  5. Step 5: Solve for x
    x = 16,407,752,602.56/83,451
  6. Step 6: Final answer
    x = 196,615.41

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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.