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Finding the Third Proportional to 61,562 and 135,274

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Solution

The third proportional to 61,562 and 135,274 is: 297,245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,562 : 135,274 = 135,274 : x
  2. Step 2: Convert to fraction form
    61,562/135,274 = 135,274/x
  3. Step 3: Cross multiply
    61,562x = 135,274 × 135,274
  4. Step 4: Simplify right side
    61,562x = 18,299,055,076
  5. Step 5: Solve for x
    x = 18,299,055,076/61,562
  6. Step 6: Final answer
    x = 297,245.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.