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Finding the Third Proportional to 62,526 and 138,876

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Solution

The third proportional to 62,526 and 138,876 is: 308,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,526 : 138,876 = 138,876 : x
  2. Step 2: Convert to fraction form
    62,526/138,876 = 138,876/x
  3. Step 3: Cross multiply
    62,526x = 138,876 × 138,876
  4. Step 4: Simplify right side
    62,526x = 19,286,543,376
  5. Step 5: Solve for x
    x = 19,286,543,376/62,526
  6. Step 6: Final answer
    x = 308,456.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.