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Finding the Third Proportional to 87,624 and 190,010

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Solution

The third proportional to 87,624 and 190,010 is: 412,030.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,624 : 190,010 = 190,010 : x
  2. Step 2: Convert to fraction form
    87,624/190,010 = 190,010/x
  3. Step 3: Cross multiply
    87,624x = 190,010 × 190,010
  4. Step 4: Simplify right side
    87,624x = 36,103,800,100
  5. Step 5: Solve for x
    x = 36,103,800,100/87,624
  6. Step 6: Final answer
    x = 412,030.95

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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.