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Finding the Third Proportional to 105,067.13 and 150,116.63

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Solution

The third proportional to 105,067.13 and 150,116.63 is: 214,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,067.13 : 150,116.63 = 150,116.63 : x
  2. Step 2: Convert to fraction form
    105,067.13/150,116.63 = 150,116.63/x
  3. Step 3: Cross multiply
    105,067.13x = 150,116.63 × 150,116.63
  4. Step 4: Simplify right side
    105,067.13x = 22,535,001,101.39
  5. Step 5: Solve for x
    x = 22,535,001,101.39/105,067.13
  6. Step 6: Final answer
    x = 214,481.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.