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Finding the Third Proportional to 72,058 and 107,799

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Solution

The third proportional to 72,058 and 107,799 is: 161,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,058 : 107,799 = 107,799 : x
  2. Step 2: Convert to fraction form
    72,058/107,799 = 107,799/x
  3. Step 3: Cross multiply
    72,058x = 107,799 × 107,799
  4. Step 4: Simplify right side
    72,058x = 11,620,624,401
  5. Step 5: Solve for x
    x = 11,620,624,401/72,058
  6. Step 6: Final answer
    x = 161,267.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.