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Finding the Third Proportional to 62,233 and 136,561

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Solution

The third proportional to 62,233 and 136,561 is: 299,662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,233 : 136,561 = 136,561 : x
  2. Step 2: Convert to fraction form
    62,233/136,561 = 136,561/x
  3. Step 3: Cross multiply
    62,233x = 136,561 × 136,561
  4. Step 4: Simplify right side
    62,233x = 18,648,906,721
  5. Step 5: Solve for x
    x = 18,648,906,721/62,233
  6. Step 6: Final answer
    x = 299,662.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.