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Finding the Third Proportional to 61,311 and 82,392

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Solution

The third proportional to 61,311 and 82,392 is: 110,721.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,311 : 82,392 = 82,392 : x
  2. Step 2: Convert to fraction form
    61,311/82,392 = 82,392/x
  3. Step 3: Cross multiply
    61,311x = 82,392 × 82,392
  4. Step 4: Simplify right side
    61,311x = 6,788,441,664
  5. Step 5: Solve for x
    x = 6,788,441,664/61,311
  6. Step 6: Final answer
    x = 110,721.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.