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Finding the Third Proportional to 120,414 and 178,878

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Solution

The third proportional to 120,414 and 178,878 is: 265,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,414 : 178,878 = 178,878 : x
  2. Step 2: Convert to fraction form
    120,414/178,878 = 178,878/x
  3. Step 3: Cross multiply
    120,414x = 178,878 × 178,878
  4. Step 4: Simplify right side
    120,414x = 31,997,338,884
  5. Step 5: Solve for x
    x = 31,997,338,884/120,414
  6. Step 6: Final answer
    x = 265,727.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.