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Finding the Third Proportional to 67,091.50 and 106,105

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Solution

The third proportional to 67,091.50 and 106,105 is: 167,804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,091.50 : 106,105 = 106,105 : x
  2. Step 2: Convert to fraction form
    67,091.50/106,105 = 106,105/x
  3. Step 3: Cross multiply
    67,091.50x = 106,105 × 106,105
  4. Step 4: Simplify right side
    67,091.50x = 11,258,271,025
  5. Step 5: Solve for x
    x = 11,258,271,025/67,091.50
  6. Step 6: Final answer
    x = 167,804.73

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.