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Finding the Third Proportional to 71,079 and 154,878

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Solution

The third proportional to 71,079 and 154,878 is: 337,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,079 : 154,878 = 154,878 : x
  2. Step 2: Convert to fraction form
    71,079/154,878 = 154,878/x
  3. Step 3: Cross multiply
    71,079x = 154,878 × 154,878
  4. Step 4: Simplify right side
    71,079x = 23,987,194,884
  5. Step 5: Solve for x
    x = 23,987,194,884/71,079
  6. Step 6: Final answer
    x = 337,472.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.