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Finding the Third Proportional to 50,781 and 77,361

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Solution

The third proportional to 50,781 and 77,361 is: 117,853.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,781 : 77,361 = 77,361 : x
  2. Step 2: Convert to fraction form
    50,781/77,361 = 77,361/x
  3. Step 3: Cross multiply
    50,781x = 77,361 × 77,361
  4. Step 4: Simplify right side
    50,781x = 5,984,724,321
  5. Step 5: Solve for x
    x = 5,984,724,321/50,781
  6. Step 6: Final answer
    x = 117,853.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.