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Finding the Third Proportional to 106,725 and 150,160.50

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Solution

The third proportional to 106,725 and 150,160.50 is: 211,273.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,725 : 150,160.50 = 150,160.50 : x
  2. Step 2: Convert to fraction form
    106,725/150,160.50 = 150,160.50/x
  3. Step 3: Cross multiply
    106,725x = 150,160.50 × 150,160.50
  4. Step 4: Simplify right side
    106,725x = 22,548,175,760.25
  5. Step 5: Solve for x
    x = 22,548,175,760.25/106,725
  6. Step 6: Final answer
    x = 211,273.61

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.