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Finding the Third Proportional to 107,561.25 and 150,444

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Solution

The third proportional to 107,561.25 and 150,444 is: 210,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,561.25 : 150,444 = 150,444 : x
  2. Step 2: Convert to fraction form
    107,561.25/150,444 = 150,444/x
  3. Step 3: Cross multiply
    107,561.25x = 150,444 × 150,444
  4. Step 4: Simplify right side
    107,561.25x = 22,633,397,136
  5. Step 5: Solve for x
    x = 22,633,397,136/107,561.25
  6. Step 6: Final answer
    x = 210,423.34

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.