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Finding the Third Proportional to 83,154.75 and 127,989.75

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Solution

The third proportional to 83,154.75 and 127,989.75 is: 196,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,154.75 : 127,989.75 = 127,989.75 : x
  2. Step 2: Convert to fraction form
    83,154.75/127,989.75 = 127,989.75/x
  3. Step 3: Cross multiply
    83,154.75x = 127,989.75 × 127,989.75
  4. Step 4: Simplify right side
    83,154.75x = 16,381,376,105.06
  5. Step 5: Solve for x
    x = 16,381,376,105.06/83,154.75
  6. Step 6: Final answer
    x = 196,998.68

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Why These Related Problems?

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