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Finding the Third Proportional to 87,616 and 190,550

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Solution

The third proportional to 87,616 and 190,550 is: 414,414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,616 : 190,550 = 190,550 : x
  2. Step 2: Convert to fraction form
    87,616/190,550 = 190,550/x
  3. Step 3: Cross multiply
    87,616x = 190,550 × 190,550
  4. Step 4: Simplify right side
    87,616x = 36,309,302,500
  5. Step 5: Solve for x
    x = 36,309,302,500/87,616
  6. Step 6: Final answer
    x = 414,414.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.