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Finding the Third Proportional to 83,158.50 and 128,019

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Solution

The third proportional to 83,158.50 and 128,019 is: 197,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,158.50 : 128,019 = 128,019 : x
  2. Step 2: Convert to fraction form
    83,158.50/128,019 = 128,019/x
  3. Step 3: Cross multiply
    83,158.50x = 128,019 × 128,019
  4. Step 4: Simplify right side
    83,158.50x = 16,388,864,361
  5. Step 5: Solve for x
    x = 16,388,864,361/83,158.50
  6. Step 6: Final answer
    x = 197,079.85

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.