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Finding the Third Proportional to 34,746 and 81,963

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Solution

The third proportional to 34,746 and 81,963 is: 193,344.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,746 : 81,963 = 81,963 : x
  2. Step 2: Convert to fraction form
    34,746/81,963 = 81,963/x
  3. Step 3: Cross multiply
    34,746x = 81,963 × 81,963
  4. Step 4: Simplify right side
    34,746x = 6,717,933,369
  5. Step 5: Solve for x
    x = 6,717,933,369/34,746
  6. Step 6: Final answer
    x = 193,344.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.