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Finding the Third Proportional to 32,493 and 69,087

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Solution

The third proportional to 32,493 and 69,087 is: 146,893.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,493 : 69,087 = 69,087 : x
  2. Step 2: Convert to fraction form
    32,493/69,087 = 69,087/x
  3. Step 3: Cross multiply
    32,493x = 69,087 × 69,087
  4. Step 4: Simplify right side
    32,493x = 4,773,013,569
  5. Step 5: Solve for x
    x = 4,773,013,569/32,493
  6. Step 6: Final answer
    x = 146,893.59

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.