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Finding the Third Proportional to 85,902.75 and 129,795.75

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Solution

The third proportional to 85,902.75 and 129,795.75 is: 196,116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,902.75 : 129,795.75 = 129,795.75 : x
  2. Step 2: Convert to fraction form
    85,902.75/129,795.75 = 129,795.75/x
  3. Step 3: Cross multiply
    85,902.75x = 129,795.75 × 129,795.75
  4. Step 4: Simplify right side
    85,902.75x = 16,846,936,718.06
  5. Step 5: Solve for x
    x = 16,846,936,718.06/85,902.75
  6. Step 6: Final answer
    x = 196,116.38

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