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Finding the Third Proportional to 73,882.13 and 144,072.42

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Solution

The third proportional to 73,882.13 and 144,072.42 is: 280,945.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,882.13 : 144,072.42 = 144,072.42 : x
  2. Step 2: Convert to fraction form
    73,882.13/144,072.42 = 144,072.42/x
  3. Step 3: Cross multiply
    73,882.13x = 144,072.42 × 144,072.42
  4. Step 4: Simplify right side
    73,882.13x = 20,756,862,744.93
  5. Step 5: Solve for x
    x = 20,756,862,744.93/73,882.13
  6. Step 6: Final answer
    x = 280,945.67

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.