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Finding the Third Proportional to 87,588 and 191,533

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Solution

The third proportional to 87,588 and 191,533 is: 418,834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,588 : 191,533 = 191,533 : x
  2. Step 2: Convert to fraction form
    87,588/191,533 = 191,533/x
  3. Step 3: Cross multiply
    87,588x = 191,533 × 191,533
  4. Step 4: Simplify right side
    87,588x = 36,684,890,089
  5. Step 5: Solve for x
    x = 36,684,890,089/87,588
  6. Step 6: Final answer
    x = 418,834.66

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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.