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Finding the Third Proportional to 86,993 and 184,648

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Solution

The third proportional to 86,993 and 184,648 is: 391,926.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,993 : 184,648 = 184,648 : x
  2. Step 2: Convert to fraction form
    86,993/184,648 = 184,648/x
  3. Step 3: Cross multiply
    86,993x = 184,648 × 184,648
  4. Step 4: Simplify right side
    86,993x = 34,094,883,904
  5. Step 5: Solve for x
    x = 34,094,883,904/86,993
  6. Step 6: Final answer
    x = 391,926.75

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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.