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Finding the Third Proportional to 37,361.25 and 81,739.13

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Solution

The third proportional to 37,361.25 and 81,739.13 is: 178,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,361.25 : 81,739.13 = 81,739.13 : x
  2. Step 2: Convert to fraction form
    37,361.25/81,739.13 = 81,739.13/x
  3. Step 3: Cross multiply
    37,361.25x = 81,739.13 × 81,739.13
  4. Step 4: Simplify right side
    37,361.25x = 6,681,284,555.77
  5. Step 5: Solve for x
    x = 6,681,284,555.77/37,361.25
  6. Step 6: Final answer
    x = 178,829.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.