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Finding the Third Proportional to 126,366.75 and 190,063.13

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Solution

The third proportional to 126,366.75 and 190,063.13 is: 285,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,366.75 : 190,063.13 = 190,063.13 : x
  2. Step 2: Convert to fraction form
    126,366.75/190,063.13 = 190,063.13/x
  3. Step 3: Cross multiply
    126,366.75x = 190,063.13 × 190,063.13
  4. Step 4: Simplify right side
    126,366.75x = 36,123,991,484.77
  5. Step 5: Solve for x
    x = 36,123,991,484.77/126,366.75
  6. Step 6: Final answer
    x = 285,866.27

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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.