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Finding the Third Proportional to 87,354 and 191,052

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Solution

The third proportional to 87,354 and 191,052 is: 417,849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,354 : 191,052 = 191,052 : x
  2. Step 2: Convert to fraction form
    87,354/191,052 = 191,052/x
  3. Step 3: Cross multiply
    87,354x = 191,052 × 191,052
  4. Step 4: Simplify right side
    87,354x = 36,500,866,704
  5. Step 5: Solve for x
    x = 36,500,866,704/87,354
  6. Step 6: Final answer
    x = 417,849.97

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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.