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Finding the Third Proportional to 82,659.75 and 123,669

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Solution

The third proportional to 82,659.75 and 123,669 is: 185,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,659.75 : 123,669 = 123,669 : x
  2. Step 2: Convert to fraction form
    82,659.75/123,669 = 123,669/x
  3. Step 3: Cross multiply
    82,659.75x = 123,669 × 123,669
  4. Step 4: Simplify right side
    82,659.75x = 15,294,021,561
  5. Step 5: Solve for x
    x = 15,294,021,561/82,659.75
  6. Step 6: Final answer
    x = 185,023.81

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