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Finding the Third Proportional to 62,529 and 136,538

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Solution

The third proportional to 62,529 and 136,538 is: 298,143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,529 : 136,538 = 136,538 : x
  2. Step 2: Convert to fraction form
    62,529/136,538 = 136,538/x
  3. Step 3: Cross multiply
    62,529x = 136,538 × 136,538
  4. Step 4: Simplify right side
    62,529x = 18,642,625,444
  5. Step 5: Solve for x
    x = 18,642,625,444/62,529
  6. Step 6: Final answer
    x = 298,143.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.