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Finding the Third Proportional to 94,683 and 142,269

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Solution

The third proportional to 94,683 and 142,269 is: 213,770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,683 : 142,269 = 142,269 : x
  2. Step 2: Convert to fraction form
    94,683/142,269 = 142,269/x
  3. Step 3: Cross multiply
    94,683x = 142,269 × 142,269
  4. Step 4: Simplify right side
    94,683x = 20,240,468,361
  5. Step 5: Solve for x
    x = 20,240,468,361/94,683
  6. Step 6: Final answer
    x = 213,770.88

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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.