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Finding the Third Proportional to 36,342 and 77,861

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Solution

The third proportional to 36,342 and 77,861 is: 166,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,342 : 77,861 = 77,861 : x
  2. Step 2: Convert to fraction form
    36,342/77,861 = 77,861/x
  3. Step 3: Cross multiply
    36,342x = 77,861 × 77,861
  4. Step 4: Simplify right side
    36,342x = 6,062,335,321
  5. Step 5: Solve for x
    x = 6,062,335,321/36,342
  6. Step 6: Final answer
    x = 166,813.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.