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Finding the Third Proportional to 39,505.13 and 86,111.25

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Solution

The third proportional to 39,505.13 and 86,111.25 is: 187,700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,505.13 : 86,111.25 = 86,111.25 : x
  2. Step 2: Convert to fraction form
    39,505.13/86,111.25 = 86,111.25/x
  3. Step 3: Cross multiply
    39,505.13x = 86,111.25 × 86,111.25
  4. Step 4: Simplify right side
    39,505.13x = 7,415,147,376.56
  5. Step 5: Solve for x
    x = 7,415,147,376.56/39,505.13
  6. Step 6: Final answer
    x = 187,700.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.