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Finding the Third Proportional to 126,320.13 and 189,480.20

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Solution

The third proportional to 126,320.13 and 189,480.20 is: 284,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,320.13 : 189,480.20 = 189,480.20 : x
  2. Step 2: Convert to fraction form
    126,320.13/189,480.20 = 189,480.20/x
  3. Step 3: Cross multiply
    126,320.13x = 189,480.20 × 189,480.20
  4. Step 4: Simplify right side
    126,320.13x = 35,902,745,895.98
  5. Step 5: Solve for x
    x = 35,902,745,895.98/126,320.13
  6. Step 6: Final answer
    x = 284,220.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.