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Finding the Third Proportional to 96,793 and 142,012

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Solution

The third proportional to 96,793 and 142,012 is: 208,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,793 : 142,012 = 142,012 : x
  2. Step 2: Convert to fraction form
    96,793/142,012 = 142,012/x
  3. Step 3: Cross multiply
    96,793x = 142,012 × 142,012
  4. Step 4: Simplify right side
    96,793x = 20,167,408,144
  5. Step 5: Solve for x
    x = 20,167,408,144/96,793
  6. Step 6: Final answer
    x = 208,356.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.