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Finding the Third Proportional to 144,048 and 191,147

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Solution

The third proportional to 144,048 and 191,147 is: 253,645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,048 : 191,147 = 191,147 : x
  2. Step 2: Convert to fraction form
    144,048/191,147 = 191,147/x
  3. Step 3: Cross multiply
    144,048x = 191,147 × 191,147
  4. Step 4: Simplify right side
    144,048x = 36,537,175,609
  5. Step 5: Solve for x
    x = 36,537,175,609/144,048
  6. Step 6: Final answer
    x = 253,645.84

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.