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Finding the Third Proportional to 87,960 and 184,560

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Solution

The third proportional to 87,960 and 184,560 is: 387,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,960 : 184,560 = 184,560 : x
  2. Step 2: Convert to fraction form
    87,960/184,560 = 184,560/x
  3. Step 3: Cross multiply
    87,960x = 184,560 × 184,560
  4. Step 4: Simplify right side
    87,960x = 34,062,393,600
  5. Step 5: Solve for x
    x = 34,062,393,600/87,960
  6. Step 6: Final answer
    x = 387,248.68

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.