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Finding the Third Proportional to 68,076 and 90,738

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Solution

The third proportional to 68,076 and 90,738 is: 120,944.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,076 : 90,738 = 90,738 : x
  2. Step 2: Convert to fraction form
    68,076/90,738 = 90,738/x
  3. Step 3: Cross multiply
    68,076x = 90,738 × 90,738
  4. Step 4: Simplify right side
    68,076x = 8,233,384,644
  5. Step 5: Solve for x
    x = 8,233,384,644/68,076
  6. Step 6: Final answer
    x = 120,944.01

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.