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Finding the Third Proportional to 144,473.25 and 191,751

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Solution

The third proportional to 144,473.25 and 191,751 is: 254,500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,473.25 : 191,751 = 191,751 : x
  2. Step 2: Convert to fraction form
    144,473.25/191,751 = 191,751/x
  3. Step 3: Cross multiply
    144,473.25x = 191,751 × 191,751
  4. Step 4: Simplify right side
    144,473.25x = 36,768,446,001
  5. Step 5: Solve for x
    x = 36,768,446,001/144,473.25
  6. Step 6: Final answer
    x = 254,500.03

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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.