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Finding the Third Proportional to 47,271.94 and 73,192.78

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Solution

The third proportional to 47,271.94 and 73,192.78 is: 113,326.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,271.94 : 73,192.78 = 73,192.78 : x
  2. Step 2: Convert to fraction form
    47,271.94/73,192.78 = 73,192.78/x
  3. Step 3: Cross multiply
    47,271.94x = 73,192.78 × 73,192.78
  4. Step 4: Simplify right side
    47,271.94x = 5,357,183,227.11
  5. Step 5: Solve for x
    x = 5,357,183,227.11/47,271.94
  6. Step 6: Final answer
    x = 113,326.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.