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Finding the Third Proportional to 87,282.50 and 133,462

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Solution

The third proportional to 87,282.50 and 133,462 is: 204,074.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,282.50 : 133,462 = 133,462 : x
  2. Step 2: Convert to fraction form
    87,282.50/133,462 = 133,462/x
  3. Step 3: Cross multiply
    87,282.50x = 133,462 × 133,462
  4. Step 4: Simplify right side
    87,282.50x = 17,812,105,444
  5. Step 5: Solve for x
    x = 17,812,105,444/87,282.50
  6. Step 6: Final answer
    x = 204,074.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.