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Finding the Third Proportional to 87,533 and 190,909

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Solution

The third proportional to 87,533 and 190,909 is: 416,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,533 : 190,909 = 190,909 : x
  2. Step 2: Convert to fraction form
    87,533/190,909 = 190,909/x
  3. Step 3: Cross multiply
    87,533x = 190,909 × 190,909
  4. Step 4: Simplify right side
    87,533x = 36,446,246,281
  5. Step 5: Solve for x
    x = 36,446,246,281/87,533
  6. Step 6: Final answer
    x = 416,371.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.