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Finding the Third Proportional to 83,474.25 and 127,972.50

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Solution

The third proportional to 83,474.25 and 127,972.50 is: 196,191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,474.25 : 127,972.50 = 127,972.50 : x
  2. Step 2: Convert to fraction form
    83,474.25/127,972.50 = 127,972.50/x
  3. Step 3: Cross multiply
    83,474.25x = 127,972.50 × 127,972.50
  4. Step 4: Simplify right side
    83,474.25x = 16,376,960,756.25
  5. Step 5: Solve for x
    x = 16,376,960,756.25/83,474.25
  6. Step 6: Final answer
    x = 196,191.77

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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.