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Finding the Third Proportional to 157,972.50 and 204,936.75

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Solution

The third proportional to 157,972.50 and 204,936.75 is: 265,863.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,972.50 : 204,936.75 = 204,936.75 : x
  2. Step 2: Convert to fraction form
    157,972.50/204,936.75 = 204,936.75/x
  3. Step 3: Cross multiply
    157,972.50x = 204,936.75 × 204,936.75
  4. Step 4: Simplify right side
    157,972.50x = 41,999,071,500.56
  5. Step 5: Solve for x
    x = 41,999,071,500.56/157,972.50
  6. Step 6: Final answer
    x = 265,863.18

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.