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Finding the Third Proportional to 87,080 and 177,848

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Solution

The third proportional to 87,080 and 177,848 is: 363,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,080 : 177,848 = 177,848 : x
  2. Step 2: Convert to fraction form
    87,080/177,848 = 177,848/x
  3. Step 3: Cross multiply
    87,080x = 177,848 × 177,848
  4. Step 4: Simplify right side
    87,080x = 31,629,911,104
  5. Step 5: Solve for x
    x = 31,629,911,104/87,080
  6. Step 6: Final answer
    x = 363,228.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.