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Finding the Third Proportional to 59,781 and 131,226

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Solution

The third proportional to 59,781 and 131,226 is: 288,055.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,781 : 131,226 = 131,226 : x
  2. Step 2: Convert to fraction form
    59,781/131,226 = 131,226/x
  3. Step 3: Cross multiply
    59,781x = 131,226 × 131,226
  4. Step 4: Simplify right side
    59,781x = 17,220,263,076
  5. Step 5: Solve for x
    x = 17,220,263,076/59,781
  6. Step 6: Final answer
    x = 288,055.79

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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.