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Finding the Third Proportional to 82,204.13 and 123,305.81

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Solution

The third proportional to 82,204.13 and 123,305.81 is: 184,958.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,204.13 : 123,305.81 = 123,305.81 : x
  2. Step 2: Convert to fraction form
    82,204.13/123,305.81 = 123,305.81/x
  3. Step 3: Cross multiply
    82,204.13x = 123,305.81 × 123,305.81
  4. Step 4: Simplify right side
    82,204.13x = 15,204,323,396.29
  5. Step 5: Solve for x
    x = 15,204,323,396.29/82,204.13
  6. Step 6: Final answer
    x = 184,958.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.