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Finding the Third Proportional to 86,049 and 184,557

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Solution

The third proportional to 86,049 and 184,557 is: 395,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,049 : 184,557 = 184,557 : x
  2. Step 2: Convert to fraction form
    86,049/184,557 = 184,557/x
  3. Step 3: Cross multiply
    86,049x = 184,557 × 184,557
  4. Step 4: Simplify right side
    86,049x = 34,061,286,249
  5. Step 5: Solve for x
    x = 34,061,286,249/86,049
  6. Step 6: Final answer
    x = 395,835.93

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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.