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Finding the Third Proportional to 53,898 and 110,468

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Solution

The third proportional to 53,898 and 110,468 is: 226,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,898 : 110,468 = 110,468 : x
  2. Step 2: Convert to fraction form
    53,898/110,468 = 110,468/x
  3. Step 3: Cross multiply
    53,898x = 110,468 × 110,468
  4. Step 4: Simplify right side
    53,898x = 12,203,179,024
  5. Step 5: Solve for x
    x = 12,203,179,024/53,898
  6. Step 6: Final answer
    x = 226,412.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.