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Finding the Third Proportional to 95,382 and 141,945

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Solution

The third proportional to 95,382 and 141,945 is: 211,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,382 : 141,945 = 141,945 : x
  2. Step 2: Convert to fraction form
    95,382/141,945 = 141,945/x
  3. Step 3: Cross multiply
    95,382x = 141,945 × 141,945
  4. Step 4: Simplify right side
    95,382x = 20,148,383,025
  5. Step 5: Solve for x
    x = 20,148,383,025/95,382
  6. Step 6: Final answer
    x = 211,238.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.