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Finding the Third Proportional to 80,280.38 and 125,015.63

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Solution

The third proportional to 80,280.38 and 125,015.63 is: 194,679.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,280.38 : 125,015.63 = 125,015.63 : x
  2. Step 2: Convert to fraction form
    80,280.38/125,015.63 = 125,015.63/x
  3. Step 3: Cross multiply
    80,280.38x = 125,015.63 × 125,015.63
  4. Step 4: Simplify right side
    80,280.38x = 15,628,906,494.14
  5. Step 5: Solve for x
    x = 15,628,906,494.14/80,280.38
  6. Step 6: Final answer
    x = 194,679.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.