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Finding the Third Proportional to 73,013.91 and 111,662.30

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Solution

The third proportional to 73,013.91 and 111,662.30 is: 170,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,013.91 : 111,662.30 = 111,662.30 : x
  2. Step 2: Convert to fraction form
    73,013.91/111,662.30 = 111,662.30/x
  3. Step 3: Cross multiply
    73,013.91x = 111,662.30 × 111,662.30
  4. Step 4: Simplify right side
    73,013.91x = 12,468,468,543.40
  5. Step 5: Solve for x
    x = 12,468,468,543.40/73,013.91
  6. Step 6: Final answer
    x = 170,768.41

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.