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Finding the Third Proportional to 53,273.25 and 114,849

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Solution

The third proportional to 53,273.25 and 114,849 is: 247,596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,273.25 : 114,849 = 114,849 : x
  2. Step 2: Convert to fraction form
    53,273.25/114,849 = 114,849/x
  3. Step 3: Cross multiply
    53,273.25x = 114,849 × 114,849
  4. Step 4: Simplify right side
    53,273.25x = 13,190,292,801
  5. Step 5: Solve for x
    x = 13,190,292,801/53,273.25
  6. Step 6: Final answer
    x = 247,596.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.