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Finding the Third Proportional to 87,488 and 185,912

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Solution

The third proportional to 87,488 and 185,912 is: 395,063

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,488 : 185,912 = 185,912 : x
  2. Step 2: Convert to fraction form
    87,488/185,912 = 185,912/x
  3. Step 3: Cross multiply
    87,488x = 185,912 × 185,912
  4. Step 4: Simplify right side
    87,488x = 34,563,271,744
  5. Step 5: Solve for x
    x = 34,563,271,744/87,488
  6. Step 6: Final answer
    x = 395,063

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.