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Finding the Third Proportional to 61,231.92 and 92,770.73

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Solution

The third proportional to 61,231.92 and 92,770.73 is: 140,554.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,231.92 : 92,770.73 = 92,770.73 : x
  2. Step 2: Convert to fraction form
    61,231.92/92,770.73 = 92,770.73/x
  3. Step 3: Cross multiply
    61,231.92x = 92,770.73 × 92,770.73
  4. Step 4: Simplify right side
    61,231.92x = 8,606,409,156.48
  5. Step 5: Solve for x
    x = 8,606,409,156.48/61,231.92
  6. Step 6: Final answer
    x = 140,554.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.