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Finding the Third Proportional to 53,543 and 111,298

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Solution

The third proportional to 53,543 and 111,298 is: 231,351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,543 : 111,298 = 111,298 : x
  2. Step 2: Convert to fraction form
    53,543/111,298 = 111,298/x
  3. Step 3: Cross multiply
    53,543x = 111,298 × 111,298
  4. Step 4: Simplify right side
    53,543x = 12,387,244,804
  5. Step 5: Solve for x
    x = 12,387,244,804/53,543
  6. Step 6: Final answer
    x = 231,351.34

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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.