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Finding the Third Proportional to 90,110 and 129,799

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Solution

The third proportional to 90,110 and 129,799 is: 186,969.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,110 : 129,799 = 129,799 : x
  2. Step 2: Convert to fraction form
    90,110/129,799 = 129,799/x
  3. Step 3: Cross multiply
    90,110x = 129,799 × 129,799
  4. Step 4: Simplify right side
    90,110x = 16,847,780,401
  5. Step 5: Solve for x
    x = 16,847,780,401/90,110
  6. Step 6: Final answer
    x = 186,969.04

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.