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Finding the Third Proportional to 32,258.25 and 73,998.56

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Solution

The third proportional to 32,258.25 and 73,998.56 is: 169,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,258.25 : 73,998.56 = 73,998.56 : x
  2. Step 2: Convert to fraction form
    32,258.25/73,998.56 = 73,998.56/x
  3. Step 3: Cross multiply
    32,258.25x = 73,998.56 × 73,998.56
  4. Step 4: Simplify right side
    32,258.25x = 5,475,787,252.07
  5. Step 5: Solve for x
    x = 5,475,787,252.07/32,258.25
  6. Step 6: Final answer
    x = 169,748.43

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These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.