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Finding the Third Proportional to 53,874 and 114,660

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Solution

The third proportional to 53,874 and 114,660 is: 244,030.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,874 : 114,660 = 114,660 : x
  2. Step 2: Convert to fraction form
    53,874/114,660 = 114,660/x
  3. Step 3: Cross multiply
    53,874x = 114,660 × 114,660
  4. Step 4: Simplify right side
    53,874x = 13,146,915,600
  5. Step 5: Solve for x
    x = 13,146,915,600/53,874
  6. Step 6: Final answer
    x = 244,030.81

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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.