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Finding the Third Proportional to 87,154 and 184,772

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Solution

The third proportional to 87,154 and 184,772 is: 391,728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,154 : 184,772 = 184,772 : x
  2. Step 2: Convert to fraction form
    87,154/184,772 = 184,772/x
  3. Step 3: Cross multiply
    87,154x = 184,772 × 184,772
  4. Step 4: Simplify right side
    87,154x = 34,140,691,984
  5. Step 5: Solve for x
    x = 34,140,691,984/87,154
  6. Step 6: Final answer
    x = 391,728.34

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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.