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Finding the Third Proportional to 50,896.50 and 114,303

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Solution

The third proportional to 50,896.50 and 114,303 is: 256,700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,896.50 : 114,303 = 114,303 : x
  2. Step 2: Convert to fraction form
    50,896.50/114,303 = 114,303/x
  3. Step 3: Cross multiply
    50,896.50x = 114,303 × 114,303
  4. Step 4: Simplify right side
    50,896.50x = 13,065,175,809
  5. Step 5: Solve for x
    x = 13,065,175,809/50,896.50
  6. Step 6: Final answer
    x = 256,700.87

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.