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Finding the Third Proportional to 61,694 and 92,996

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Solution

The third proportional to 61,694 and 92,996 is: 140,179.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,694 : 92,996 = 92,996 : x
  2. Step 2: Convert to fraction form
    61,694/92,996 = 92,996/x
  3. Step 3: Cross multiply
    61,694x = 92,996 × 92,996
  4. Step 4: Simplify right side
    61,694x = 8,648,256,016
  5. Step 5: Solve for x
    x = 8,648,256,016/61,694
  6. Step 6: Final answer
    x = 140,179.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.