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Finding the Third Proportional to 129,058 and 276,794

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Solution

The third proportional to 129,058 and 276,794 is: 593,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,058 : 276,794 = 276,794 : x
  2. Step 2: Convert to fraction form
    129,058/276,794 = 276,794/x
  3. Step 3: Cross multiply
    129,058x = 276,794 × 276,794
  4. Step 4: Simplify right side
    129,058x = 76,614,918,436
  5. Step 5: Solve for x
    x = 76,614,918,436/129,058
  6. Step 6: Final answer
    x = 593,647.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.