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Finding the Third Proportional to 53,427 and 114,267

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Solution

The third proportional to 53,427 and 114,267 is: 244,388.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,427 : 114,267 = 114,267 : x
  2. Step 2: Convert to fraction form
    53,427/114,267 = 114,267/x
  3. Step 3: Cross multiply
    53,427x = 114,267 × 114,267
  4. Step 4: Simplify right side
    53,427x = 13,056,947,289
  5. Step 5: Solve for x
    x = 13,056,947,289/53,427
  6. Step 6: Final answer
    x = 244,388.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.