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Finding the Third Proportional to 58,323.94 and 82,189.13

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Solution

The third proportional to 58,323.94 and 82,189.13 is: 115,819.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,323.94 : 82,189.13 = 82,189.13 : x
  2. Step 2: Convert to fraction form
    58,323.94/82,189.13 = 82,189.13/x
  3. Step 3: Cross multiply
    58,323.94x = 82,189.13 × 82,189.13
  4. Step 4: Simplify right side
    58,323.94x = 6,755,052,268.27
  5. Step 5: Solve for x
    x = 6,755,052,268.27/58,323.94
  6. Step 6: Final answer
    x = 115,819.55

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.