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Finding the Third Proportional to 73,230.75 and 109,846.13

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Solution

The third proportional to 73,230.75 and 109,846.13 is: 164,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,230.75 : 109,846.13 = 109,846.13 : x
  2. Step 2: Convert to fraction form
    73,230.75/109,846.13 = 109,846.13/x
  3. Step 3: Cross multiply
    73,230.75x = 109,846.13 × 109,846.13
  4. Step 4: Simplify right side
    73,230.75x = 12,066,171,177.52
  5. Step 5: Solve for x
    x = 12,066,171,177.52/73,230.75
  6. Step 6: Final answer
    x = 164,769.19

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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.