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Finding the Third Proportional to 73,732.50 and 111,202.88

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Solution

The third proportional to 73,732.50 and 111,202.88 is: 167,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,732.50 : 111,202.88 = 111,202.88 : x
  2. Step 2: Convert to fraction form
    73,732.50/111,202.88 = 111,202.88/x
  3. Step 3: Cross multiply
    73,732.50x = 111,202.88 × 111,202.88
  4. Step 4: Simplify right side
    73,732.50x = 12,366,079,408.27
  5. Step 5: Solve for x
    x = 12,366,079,408.27/73,732.50
  6. Step 6: Final answer
    x = 167,715.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.