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Finding the Third Proportional to 126,508.50 and 189,378

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Solution

The third proportional to 126,508.50 and 189,378 is: 283,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,508.50 : 189,378 = 189,378 : x
  2. Step 2: Convert to fraction form
    126,508.50/189,378 = 189,378/x
  3. Step 3: Cross multiply
    126,508.50x = 189,378 × 189,378
  4. Step 4: Simplify right side
    126,508.50x = 35,864,026,884
  5. Step 5: Solve for x
    x = 35,864,026,884/126,508.50
  6. Step 6: Final answer
    x = 283,491.05

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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.