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Finding the Third Proportional to 86,125 and 184,705

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Solution

The third proportional to 86,125 and 184,705 is: 396,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,125 : 184,705 = 184,705 : x
  2. Step 2: Convert to fraction form
    86,125/184,705 = 184,705/x
  3. Step 3: Cross multiply
    86,125x = 184,705 × 184,705
  4. Step 4: Simplify right side
    86,125x = 34,115,937,025
  5. Step 5: Solve for x
    x = 34,115,937,025/86,125
  6. Step 6: Final answer
    x = 396,121.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.