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Finding the Third Proportional to 67,979 and 158,058

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Solution

The third proportional to 67,979 and 158,058 is: 367,500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,979 : 158,058 = 158,058 : x
  2. Step 2: Convert to fraction form
    67,979/158,058 = 158,058/x
  3. Step 3: Cross multiply
    67,979x = 158,058 × 158,058
  4. Step 4: Simplify right side
    67,979x = 24,982,331,364
  5. Step 5: Solve for x
    x = 24,982,331,364/67,979
  6. Step 6: Final answer
    x = 367,500.72

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.