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Finding the Third Proportional to 75,962 and 122,043

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Solution

The third proportional to 75,962 and 122,043 is: 196,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,962 : 122,043 = 122,043 : x
  2. Step 2: Convert to fraction form
    75,962/122,043 = 122,043/x
  3. Step 3: Cross multiply
    75,962x = 122,043 × 122,043
  4. Step 4: Simplify right side
    75,962x = 14,894,493,849
  5. Step 5: Solve for x
    x = 14,894,493,849/75,962
  6. Step 6: Final answer
    x = 196,078.22

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.