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Finding the Third Proportional to 73,821.38 and 110,802.94

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Solution

The third proportional to 73,821.38 and 110,802.94 is: 166,310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,821.38 : 110,802.94 = 110,802.94 : x
  2. Step 2: Convert to fraction form
    73,821.38/110,802.94 = 110,802.94/x
  3. Step 3: Cross multiply
    73,821.38x = 110,802.94 × 110,802.94
  4. Step 4: Simplify right side
    73,821.38x = 12,277,290,958.63
  5. Step 5: Solve for x
    x = 12,277,290,958.63/73,821.38
  6. Step 6: Final answer
    x = 166,310.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.