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Finding the Third Proportional to 37,109.25 and 87,513.19

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Solution

The third proportional to 37,109.25 and 87,513.19 is: 206,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,109.25 : 87,513.19 = 87,513.19 : x
  2. Step 2: Convert to fraction form
    37,109.25/87,513.19 = 87,513.19/x
  3. Step 3: Cross multiply
    37,109.25x = 87,513.19 × 87,513.19
  4. Step 4: Simplify right side
    37,109.25x = 7,658,557,986.41
  5. Step 5: Solve for x
    x = 7,658,557,986.41/37,109.25
  6. Step 6: Final answer
    x = 206,378.68

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.