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Finding the Third Proportional to 48,838 and 100,269

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Solution

The third proportional to 48,838 and 100,269 is: 205,861.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,838 : 100,269 = 100,269 : x
  2. Step 2: Convert to fraction form
    48,838/100,269 = 100,269/x
  3. Step 3: Cross multiply
    48,838x = 100,269 × 100,269
  4. Step 4: Simplify right side
    48,838x = 10,053,872,361
  5. Step 5: Solve for x
    x = 10,053,872,361/48,838
  6. Step 6: Final answer
    x = 205,861.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.