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Finding the Third Proportional to 50,643.50 and 111,007

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Solution

The third proportional to 50,643.50 and 111,007 is: 243,319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,643.50 : 111,007 = 111,007 : x
  2. Step 2: Convert to fraction form
    50,643.50/111,007 = 111,007/x
  3. Step 3: Cross multiply
    50,643.50x = 111,007 × 111,007
  4. Step 4: Simplify right side
    50,643.50x = 12,322,554,049
  5. Step 5: Solve for x
    x = 12,322,554,049/50,643.50
  6. Step 6: Final answer
    x = 243,319.56

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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.