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Finding the Third Proportional to 73,821.38 and 161,174.81

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Solution

The third proportional to 73,821.38 and 161,174.81 is: 351,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,821.38 : 161,174.81 = 161,174.81 : x
  2. Step 2: Convert to fraction form
    73,821.38/161,174.81 = 161,174.81/x
  3. Step 3: Cross multiply
    73,821.38x = 161,174.81 × 161,174.81
  4. Step 4: Simplify right side
    73,821.38x = 25,977,320,184.41
  5. Step 5: Solve for x
    x = 25,977,320,184.41/73,821.38
  6. Step 6: Final answer
    x = 351,894.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.