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Finding the Third Proportional to 68,617.13 and 106,418.81

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Solution

The third proportional to 68,617.13 and 106,418.81 is: 165,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,617.13 : 106,418.81 = 106,418.81 : x
  2. Step 2: Convert to fraction form
    68,617.13/106,418.81 = 106,418.81/x
  3. Step 3: Cross multiply
    68,617.13x = 106,418.81 × 106,418.81
  4. Step 4: Simplify right side
    68,617.13x = 11,324,963,653.91
  5. Step 5: Solve for x
    x = 11,324,963,653.91/68,617.13
  6. Step 6: Final answer
    x = 165,045.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.