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Finding the Third Proportional to 53,957 and 110,055

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Solution

The third proportional to 53,957 and 110,055 is: 224,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,957 : 110,055 = 110,055 : x
  2. Step 2: Convert to fraction form
    53,957/110,055 = 110,055/x
  3. Step 3: Cross multiply
    53,957x = 110,055 × 110,055
  4. Step 4: Simplify right side
    53,957x = 12,112,103,025
  5. Step 5: Solve for x
    x = 12,112,103,025/53,957
  6. Step 6: Final answer
    x = 224,476.95

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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.