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Finding the Third Proportional to 49,117 and 100,301

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Solution

The third proportional to 49,117 and 100,301 is: 204,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,117 : 100,301 = 100,301 : x
  2. Step 2: Convert to fraction form
    49,117/100,301 = 100,301/x
  3. Step 3: Cross multiply
    49,117x = 100,301 × 100,301
  4. Step 4: Simplify right side
    49,117x = 10,060,290,601
  5. Step 5: Solve for x
    x = 10,060,290,601/49,117
  6. Step 6: Final answer
    x = 204,822.99

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.