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Finding the Third Proportional to 49,489 and 110,018

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Solution

The third proportional to 49,489 and 110,018 is: 244,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,489 : 110,018 = 110,018 : x
  2. Step 2: Convert to fraction form
    49,489/110,018 = 110,018/x
  3. Step 3: Cross multiply
    49,489x = 110,018 × 110,018
  4. Step 4: Simplify right side
    49,489x = 12,103,960,324
  5. Step 5: Solve for x
    x = 12,103,960,324/49,489
  6. Step 6: Final answer
    x = 244,578.80

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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.