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Finding the Third Proportional to 94,806 and 142,812

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Solution

The third proportional to 94,806 and 142,812 is: 215,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,806 : 142,812 = 142,812 : x
  2. Step 2: Convert to fraction form
    94,806/142,812 = 142,812/x
  3. Step 3: Cross multiply
    94,806x = 142,812 × 142,812
  4. Step 4: Simplify right side
    94,806x = 20,395,267,344
  5. Step 5: Solve for x
    x = 20,395,267,344/94,806
  6. Step 6: Final answer
    x = 215,126.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.