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Finding the Third Proportional to 36,454 and 77,963

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Solution

The third proportional to 36,454 and 77,963 is: 166,736.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,454 : 77,963 = 77,963 : x
  2. Step 2: Convert to fraction form
    36,454/77,963 = 77,963/x
  3. Step 3: Cross multiply
    36,454x = 77,963 × 77,963
  4. Step 4: Simplify right side
    36,454x = 6,078,229,369
  5. Step 5: Solve for x
    x = 6,078,229,369/36,454
  6. Step 6: Final answer
    x = 166,736.97

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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.