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Finding the Third Proportional to 62,878 and 150,155

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Solution

The third proportional to 62,878 and 150,155 is: 358,575.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,878 : 150,155 = 150,155 : x
  2. Step 2: Convert to fraction form
    62,878/150,155 = 150,155/x
  3. Step 3: Cross multiply
    62,878x = 150,155 × 150,155
  4. Step 4: Simplify right side
    62,878x = 22,546,524,025
  5. Step 5: Solve for x
    x = 22,546,524,025/62,878
  6. Step 6: Final answer
    x = 358,575.72

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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.