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Finding the Third Proportional to 54,016 and 112,334

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Solution

The third proportional to 54,016 and 112,334 is: 233,614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,016 : 112,334 = 112,334 : x
  2. Step 2: Convert to fraction form
    54,016/112,334 = 112,334/x
  3. Step 3: Cross multiply
    54,016x = 112,334 × 112,334
  4. Step 4: Simplify right side
    54,016x = 12,618,927,556
  5. Step 5: Solve for x
    x = 12,618,927,556/54,016
  6. Step 6: Final answer
    x = 233,614.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.