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Finding the Third Proportional to 50,417.50 and 105,995

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Solution

The third proportional to 50,417.50 and 105,995 is: 222,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,417.50 : 105,995 = 105,995 : x
  2. Step 2: Convert to fraction form
    50,417.50/105,995 = 105,995/x
  3. Step 3: Cross multiply
    50,417.50x = 105,995 × 105,995
  4. Step 4: Simplify right side
    50,417.50x = 11,234,940,025
  5. Step 5: Solve for x
    x = 11,234,940,025/50,417.50
  6. Step 6: Final answer
    x = 222,838.10

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.