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Finding the Third Proportional to 42,806.81 and 68,174.16

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Solution

The third proportional to 42,806.81 and 68,174.16 is: 108,574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,806.81 : 68,174.16 = 68,174.16 : x
  2. Step 2: Convert to fraction form
    42,806.81/68,174.16 = 68,174.16/x
  3. Step 3: Cross multiply
    42,806.81x = 68,174.16 × 68,174.16
  4. Step 4: Simplify right side
    42,806.81x = 4,647,715,580.40
  5. Step 5: Solve for x
    x = 4,647,715,580.40/42,806.81
  6. Step 6: Final answer
    x = 108,574.20

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.