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Finding the Third Proportional to 53,890 and 117,274

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Solution

The third proportional to 53,890 and 117,274 is: 255,208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,890 : 117,274 = 117,274 : x
  2. Step 2: Convert to fraction form
    53,890/117,274 = 117,274/x
  3. Step 3: Cross multiply
    53,890x = 117,274 × 117,274
  4. Step 4: Simplify right side
    53,890x = 13,753,191,076
  5. Step 5: Solve for x
    x = 13,753,191,076/53,890
  6. Step 6: Final answer
    x = 255,208.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.