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Finding the Third Proportional to 73,821.38 and 114,524.44

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Solution

The third proportional to 73,821.38 and 114,524.44 is: 177,670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,821.38 : 114,524.44 = 114,524.44 : x
  2. Step 2: Convert to fraction form
    73,821.38/114,524.44 = 114,524.44/x
  3. Step 3: Cross multiply
    73,821.38x = 114,524.44 × 114,524.44
  4. Step 4: Simplify right side
    73,821.38x = 13,115,846,784.69
  5. Step 5: Solve for x
    x = 13,115,846,784.69/73,821.38
  6. Step 6: Final answer
    x = 177,670.04

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Why These Related Problems?

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