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Finding the Third Proportional to 66,493.13 and 144,289.13

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Solution

The third proportional to 66,493.13 and 144,289.13 is: 313,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,493.13 : 144,289.13 = 144,289.13 : x
  2. Step 2: Convert to fraction form
    66,493.13/144,289.13 = 144,289.13/x
  3. Step 3: Cross multiply
    66,493.13x = 144,289.13 × 144,289.13
  4. Step 4: Simplify right side
    66,493.13x = 20,819,351,593.27
  5. Step 5: Solve for x
    x = 20,819,351,593.27/66,493.13
  6. Step 6: Final answer
    x = 313,105.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.