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Finding the Third Proportional to 87,712 and 184,593

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Solution

The third proportional to 87,712 and 184,593 is: 388,482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,712 : 184,593 = 184,593 : x
  2. Step 2: Convert to fraction form
    87,712/184,593 = 184,593/x
  3. Step 3: Cross multiply
    87,712x = 184,593 × 184,593
  4. Step 4: Simplify right side
    87,712x = 34,074,575,649
  5. Step 5: Solve for x
    x = 34,074,575,649/87,712
  6. Step 6: Final answer
    x = 388,482.48

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Why These Related Problems?

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