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Finding the Third Proportional to 131,604.75 and 194,491.13

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Solution

The third proportional to 131,604.75 and 194,491.13 is: 287,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,604.75 : 194,491.13 = 194,491.13 : x
  2. Step 2: Convert to fraction form
    131,604.75/194,491.13 = 194,491.13/x
  3. Step 3: Cross multiply
    131,604.75x = 194,491.13 × 194,491.13
  4. Step 4: Simplify right side
    131,604.75x = 37,826,797,703.77
  5. Step 5: Solve for x
    x = 37,826,797,703.77/131,604.75
  6. Step 6: Final answer
    x = 287,427.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.