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Finding the Third Proportional to 72,922.78 and 140,719.78

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Solution

The third proportional to 72,922.78 and 140,719.78 is: 271,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,922.78 : 140,719.78 = 140,719.78 : x
  2. Step 2: Convert to fraction form
    72,922.78/140,719.78 = 140,719.78/x
  3. Step 3: Cross multiply
    72,922.78x = 140,719.78 × 140,719.78
  4. Step 4: Simplify right side
    72,922.78x = 19,802,056,835.05
  5. Step 5: Solve for x
    x = 19,802,056,835.05/72,922.78
  6. Step 6: Final answer
    x = 271,548.29

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These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.