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Finding the Third Proportional to 82,684.13 and 131,410.69

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Solution

The third proportional to 82,684.13 and 131,410.69 is: 208,852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,684.13 : 131,410.69 = 131,410.69 : x
  2. Step 2: Convert to fraction form
    82,684.13/131,410.69 = 131,410.69/x
  3. Step 3: Cross multiply
    82,684.13x = 131,410.69 × 131,410.69
  4. Step 4: Simplify right side
    82,684.13x = 17,268,768,789.22
  5. Step 5: Solve for x
    x = 17,268,768,789.22/82,684.13
  6. Step 6: Final answer
    x = 208,852.29

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.