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Finding the Third Proportional to 73,704.94 and 113,298.75

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Solution

The third proportional to 73,704.94 and 113,298.75 is: 174,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,704.94 : 113,298.75 = 113,298.75 : x
  2. Step 2: Convert to fraction form
    73,704.94/113,298.75 = 113,298.75/x
  3. Step 3: Cross multiply
    73,704.94x = 113,298.75 × 113,298.75
  4. Step 4: Simplify right side
    73,704.94x = 12,836,606,751.56
  5. Step 5: Solve for x
    x = 12,836,606,751.56/73,704.94
  6. Step 6: Final answer
    x = 174,162.10

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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.