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Finding the Third Proportional to 56,956.50 and 131,857.50

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Solution

The third proportional to 56,956.50 and 131,857.50 is: 305,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,956.50 : 131,857.50 = 131,857.50 : x
  2. Step 2: Convert to fraction form
    56,956.50/131,857.50 = 131,857.50/x
  3. Step 3: Cross multiply
    56,956.50x = 131,857.50 × 131,857.50
  4. Step 4: Simplify right side
    56,956.50x = 17,386,400,306.25
  5. Step 5: Solve for x
    x = 17,386,400,306.25/56,956.50
  6. Step 6: Final answer
    x = 305,257.53

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.