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Finding the Third Proportional to 43,507.25 and 69,229.25

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Solution

The third proportional to 43,507.25 and 69,229.25 is: 110,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,507.25 : 69,229.25 = 69,229.25 : x
  2. Step 2: Convert to fraction form
    43,507.25/69,229.25 = 69,229.25/x
  3. Step 3: Cross multiply
    43,507.25x = 69,229.25 × 69,229.25
  4. Step 4: Simplify right side
    43,507.25x = 4,792,689,055.56
  5. Step 5: Solve for x
    x = 4,792,689,055.56/43,507.25
  6. Step 6: Final answer
    x = 110,158.40

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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.