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Finding the Third Proportional to 53,181 and 113,274

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Solution

The third proportional to 53,181 and 113,274 is: 241,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,181 : 113,274 = 113,274 : x
  2. Step 2: Convert to fraction form
    53,181/113,274 = 113,274/x
  3. Step 3: Cross multiply
    53,181x = 113,274 × 113,274
  4. Step 4: Simplify right side
    53,181x = 12,830,999,076
  5. Step 5: Solve for x
    x = 12,830,999,076/53,181
  6. Step 6: Final answer
    x = 241,270.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.