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Finding the Third Proportional to 48,911 and 105,601

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Solution

The third proportional to 48,911 and 105,601 is: 227,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,911 : 105,601 = 105,601 : x
  2. Step 2: Convert to fraction form
    48,911/105,601 = 105,601/x
  3. Step 3: Cross multiply
    48,911x = 105,601 × 105,601
  4. Step 4: Simplify right side
    48,911x = 11,151,571,201
  5. Step 5: Solve for x
    x = 11,151,571,201/48,911
  6. Step 6: Final answer
    x = 227,997.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.