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Finding the Third Proportional to 48,102.19 and 73,998.56

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Solution

The third proportional to 48,102.19 and 73,998.56 is: 113,836.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,102.19 : 73,998.56 = 73,998.56 : x
  2. Step 2: Convert to fraction form
    48,102.19/73,998.56 = 73,998.56/x
  3. Step 3: Cross multiply
    48,102.19x = 73,998.56 × 73,998.56
  4. Step 4: Simplify right side
    48,102.19x = 5,475,787,252.07
  5. Step 5: Solve for x
    x = 5,475,787,252.07/48,102.19
  6. Step 6: Final answer
    x = 113,836.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.