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Finding the Third Proportional to 87,165 and 184,797

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Solution

The third proportional to 87,165 and 184,797 is: 391,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,165 : 184,797 = 184,797 : x
  2. Step 2: Convert to fraction form
    87,165/184,797 = 184,797/x
  3. Step 3: Cross multiply
    87,165x = 184,797 × 184,797
  4. Step 4: Simplify right side
    87,165x = 34,149,931,209
  5. Step 5: Solve for x
    x = 34,149,931,209/87,165
  6. Step 6: Final answer
    x = 391,784.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.