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Finding the Third Proportional to 49,269 and 101,436

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Solution

The third proportional to 49,269 and 101,436 is: 208,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,269 : 101,436 = 101,436 : x
  2. Step 2: Convert to fraction form
    49,269/101,436 = 101,436/x
  3. Step 3: Cross multiply
    49,269x = 101,436 × 101,436
  4. Step 4: Simplify right side
    49,269x = 10,289,262,096
  5. Step 5: Solve for x
    x = 10,289,262,096/49,269
  6. Step 6: Final answer
    x = 208,838.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.