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Finding the Third Proportional to 60,223 and 129,697

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Solution

The third proportional to 60,223 and 129,697 is: 279,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,223 : 129,697 = 129,697 : x
  2. Step 2: Convert to fraction form
    60,223/129,697 = 129,697/x
  3. Step 3: Cross multiply
    60,223x = 129,697 × 129,697
  4. Step 4: Simplify right side
    60,223x = 16,821,311,809
  5. Step 5: Solve for x
    x = 16,821,311,809/60,223
  6. Step 6: Final answer
    x = 279,317.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.