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Finding the Third Proportional to 141,906 and 213,456.75

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Solution

The third proportional to 141,906 and 213,456.75 is: 321,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,906 : 213,456.75 = 213,456.75 : x
  2. Step 2: Convert to fraction form
    141,906/213,456.75 = 213,456.75/x
  3. Step 3: Cross multiply
    141,906x = 213,456.75 × 213,456.75
  4. Step 4: Simplify right side
    141,906x = 45,563,784,120.56
  5. Step 5: Solve for x
    x = 45,563,784,120.56/141,906
  6. Step 6: Final answer
    x = 321,084.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.