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Finding the Third Proportional to 50,969.25 and 106,585.88

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Solution

The third proportional to 50,969.25 and 106,585.88 is: 222,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,969.25 : 106,585.88 = 106,585.88 : x
  2. Step 2: Convert to fraction form
    50,969.25/106,585.88 = 106,585.88/x
  3. Step 3: Cross multiply
    50,969.25x = 106,585.88 × 106,585.88
  4. Step 4: Simplify right side
    50,969.25x = 11,360,548,749.52
  5. Step 5: Solve for x
    x = 11,360,548,749.52/50,969.25
  6. Step 6: Final answer
    x = 222,890.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.