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Finding the Third Proportional to 68,992 and 105,468

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Solution

The third proportional to 68,992 and 105,468 is: 161,228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,992 : 105,468 = 105,468 : x
  2. Step 2: Convert to fraction form
    68,992/105,468 = 105,468/x
  3. Step 3: Cross multiply
    68,992x = 105,468 × 105,468
  4. Step 4: Simplify right side
    68,992x = 11,123,499,024
  5. Step 5: Solve for x
    x = 11,123,499,024/68,992
  6. Step 6: Final answer
    x = 161,228.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.