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Finding the Third Proportional to 68,336.16 and 106,957.97

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Solution

The third proportional to 68,336.16 and 106,957.97 is: 167,407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,336.16 : 106,957.97 = 106,957.97 : x
  2. Step 2: Convert to fraction form
    68,336.16/106,957.97 = 106,957.97/x
  3. Step 3: Cross multiply
    68,336.16x = 106,957.97 × 106,957.97
  4. Step 4: Simplify right side
    68,336.16x = 11,440,007,079.13
  5. Step 5: Solve for x
    x = 11,440,007,079.13/68,336.16
  6. Step 6: Final answer
    x = 167,407.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.