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Finding the Third Proportional to 86,652 and 184,236

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Solution

The third proportional to 86,652 and 184,236 is: 391,715.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,652 : 184,236 = 184,236 : x
  2. Step 2: Convert to fraction form
    86,652/184,236 = 184,236/x
  3. Step 3: Cross multiply
    86,652x = 184,236 × 184,236
  4. Step 4: Simplify right side
    86,652x = 33,942,903,696
  5. Step 5: Solve for x
    x = 33,942,903,696/86,652
  6. Step 6: Final answer
    x = 391,715.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.