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Finding the Third Proportional to 48,131.50 and 105,563

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Solution

The third proportional to 48,131.50 and 105,563 is: 231,522.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,131.50 : 105,563 = 105,563 : x
  2. Step 2: Convert to fraction form
    48,131.50/105,563 = 105,563/x
  3. Step 3: Cross multiply
    48,131.50x = 105,563 × 105,563
  4. Step 4: Simplify right side
    48,131.50x = 11,143,546,969
  5. Step 5: Solve for x
    x = 11,143,546,969/48,131.50
  6. Step 6: Final answer
    x = 231,522.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.