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Finding the Third Proportional to 95,606 and 140,026

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Solution

The third proportional to 95,606 and 140,026 is: 205,084.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,606 : 140,026 = 140,026 : x
  2. Step 2: Convert to fraction form
    95,606/140,026 = 140,026/x
  3. Step 3: Cross multiply
    95,606x = 140,026 × 140,026
  4. Step 4: Simplify right side
    95,606x = 19,607,280,676
  5. Step 5: Solve for x
    x = 19,607,280,676/95,606
  6. Step 6: Final answer
    x = 205,084.21

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.