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Finding the Third Proportional to 87,226 and 191,132

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Solution

The third proportional to 87,226 and 191,132 is: 418,813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,226 : 191,132 = 191,132 : x
  2. Step 2: Convert to fraction form
    87,226/191,132 = 191,132/x
  3. Step 3: Cross multiply
    87,226x = 191,132 × 191,132
  4. Step 4: Simplify right side
    87,226x = 36,531,441,424
  5. Step 5: Solve for x
    x = 36,531,441,424/87,226
  6. Step 6: Final answer
    x = 418,813.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.