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Finding the Third Proportional to 62,872 and 150,140

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Solution

The third proportional to 62,872 and 150,140 is: 358,538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,872 : 150,140 = 150,140 : x
  2. Step 2: Convert to fraction form
    62,872/150,140 = 150,140/x
  3. Step 3: Cross multiply
    62,872x = 150,140 × 150,140
  4. Step 4: Simplify right side
    62,872x = 22,542,019,600
  5. Step 5: Solve for x
    x = 22,542,019,600/62,872
  6. Step 6: Final answer
    x = 358,538.29

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.