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Finding the Third Proportional to 82,765.13 and 184,267.13

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Solution

The third proportional to 82,765.13 and 184,267.13 is: 410,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,765.13 : 184,267.13 = 184,267.13 : x
  2. Step 2: Convert to fraction form
    82,765.13/184,267.13 = 184,267.13/x
  3. Step 3: Cross multiply
    82,765.13x = 184,267.13 × 184,267.13
  4. Step 4: Simplify right side
    82,765.13x = 33,954,373,355.77
  5. Step 5: Solve for x
    x = 33,954,373,355.77/82,765.13
  6. Step 6: Final answer
    x = 410,249.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.