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Finding the Third Proportional to 54,064 and 109,418

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Solution

The third proportional to 54,064 and 109,418 is: 221,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,064 : 109,418 = 109,418 : x
  2. Step 2: Convert to fraction form
    54,064/109,418 = 109,418/x
  3. Step 3: Cross multiply
    54,064x = 109,418 × 109,418
  4. Step 4: Simplify right side
    54,064x = 11,972,298,724
  5. Step 5: Solve for x
    x = 11,972,298,724/54,064
  6. Step 6: Final answer
    x = 221,446.78

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.