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Finding the Third Proportional to 32,143.50 and 69,226.31

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Solution

The third proportional to 32,143.50 and 69,226.31 is: 149,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.50 : 69,226.31 = 69,226.31 : x
  2. Step 2: Convert to fraction form
    32,143.50/69,226.31 = 69,226.31/x
  3. Step 3: Cross multiply
    32,143.50x = 69,226.31 × 69,226.31
  4. Step 4: Simplify right side
    32,143.50x = 4,792,282,342.35
  5. Step 5: Solve for x
    x = 4,792,282,342.35/32,143.50
  6. Step 6: Final answer
    x = 149,090.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.