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Finding the Third Proportional to 83,451 and 129,451.50

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Solution

The third proportional to 83,451 and 129,451.50 is: 200,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,451 : 129,451.50 = 129,451.50 : x
  2. Step 2: Convert to fraction form
    83,451/129,451.50 = 129,451.50/x
  3. Step 3: Cross multiply
    83,451x = 129,451.50 × 129,451.50
  4. Step 4: Simplify right side
    83,451x = 16,757,690,852.25
  5. Step 5: Solve for x
    x = 16,757,690,852.25/83,451
  6. Step 6: Final answer
    x = 200,808.75

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