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Finding the Third Proportional to 106,072.50 and 150,360

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Solution

The third proportional to 106,072.50 and 150,360 is: 213,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,072.50 : 150,360 = 150,360 : x
  2. Step 2: Convert to fraction form
    106,072.50/150,360 = 150,360/x
  3. Step 3: Cross multiply
    106,072.50x = 150,360 × 150,360
  4. Step 4: Simplify right side
    106,072.50x = 22,608,129,600
  5. Step 5: Solve for x
    x = 22,608,129,600/106,072.50
  6. Step 6: Final answer
    x = 213,138.46

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.