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Finding the Third Proportional to 53,366 and 114,828

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Solution

The third proportional to 53,366 and 114,828 is: 247,076.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,366 : 114,828 = 114,828 : x
  2. Step 2: Convert to fraction form
    53,366/114,828 = 114,828/x
  3. Step 3: Cross multiply
    53,366x = 114,828 × 114,828
  4. Step 4: Simplify right side
    53,366x = 13,185,469,584
  5. Step 5: Solve for x
    x = 13,185,469,584/53,366
  6. Step 6: Final answer
    x = 247,076.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.