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Finding the Third Proportional to 80,274 and 124,228.50

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Solution

The third proportional to 80,274 and 124,228.50 is: 192,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,274 : 124,228.50 = 124,228.50 : x
  2. Step 2: Convert to fraction form
    80,274/124,228.50 = 124,228.50/x
  3. Step 3: Cross multiply
    80,274x = 124,228.50 × 124,228.50
  4. Step 4: Simplify right side
    80,274x = 15,432,720,212.25
  5. Step 5: Solve for x
    x = 15,432,720,212.25/80,274
  6. Step 6: Final answer
    x = 192,250.54

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Why These Related Problems?

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