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Finding the Third Proportional to 32,270.25 and 69,212.25

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Solution

The third proportional to 32,270.25 and 69,212.25 is: 148,444.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,270.25 : 69,212.25 = 69,212.25 : x
  2. Step 2: Convert to fraction form
    32,270.25/69,212.25 = 69,212.25/x
  3. Step 3: Cross multiply
    32,270.25x = 69,212.25 × 69,212.25
  4. Step 4: Simplify right side
    32,270.25x = 4,790,335,550.06
  5. Step 5: Solve for x
    x = 4,790,335,550.06/32,270.25
  6. Step 6: Final answer
    x = 148,444.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.