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Finding the Third Proportional to 53,406 and 113,961

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Solution

The third proportional to 53,406 and 113,961 is: 243,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,406 : 113,961 = 113,961 : x
  2. Step 2: Convert to fraction form
    53,406/113,961 = 113,961/x
  3. Step 3: Cross multiply
    53,406x = 113,961 × 113,961
  4. Step 4: Simplify right side
    53,406x = 12,987,109,521
  5. Step 5: Solve for x
    x = 12,987,109,521/53,406
  6. Step 6: Final answer
    x = 243,176.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.