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Finding the Third Proportional to 53,949 and 110,037

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Solution

The third proportional to 53,949 and 110,037 is: 224,436.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,949 : 110,037 = 110,037 : x
  2. Step 2: Convert to fraction form
    53,949/110,037 = 110,037/x
  3. Step 3: Cross multiply
    53,949x = 110,037 × 110,037
  4. Step 4: Simplify right side
    53,949x = 12,108,141,369
  5. Step 5: Solve for x
    x = 12,108,141,369/53,949
  6. Step 6: Final answer
    x = 224,436.81

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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.