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Finding the Third Proportional to 107,144.44 and 169,512.75

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Solution

The third proportional to 107,144.44 and 169,512.75 is: 268,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,144.44 : 169,512.75 = 169,512.75 : x
  2. Step 2: Convert to fraction form
    107,144.44/169,512.75 = 169,512.75/x
  3. Step 3: Cross multiply
    107,144.44x = 169,512.75 × 169,512.75
  4. Step 4: Simplify right side
    107,144.44x = 28,734,572,412.56
  5. Step 5: Solve for x
    x = 28,734,572,412.56/107,144.44
  6. Step 6: Final answer
    x = 268,185.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.