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Finding the Third Proportional to 50,614 and 81,322

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Solution

The third proportional to 50,614 and 81,322 is: 130,660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,614 : 81,322 = 81,322 : x
  2. Step 2: Convert to fraction form
    50,614/81,322 = 81,322/x
  3. Step 3: Cross multiply
    50,614x = 81,322 × 81,322
  4. Step 4: Simplify right side
    50,614x = 6,613,267,684
  5. Step 5: Solve for x
    x = 6,613,267,684/50,614
  6. Step 6: Final answer
    x = 130,660.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.