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Finding the Third Proportional to 52,809.25 and 109,986.75

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Solution

The third proportional to 52,809.25 and 109,986.75 is: 229,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,809.25 : 109,986.75 = 109,986.75 : x
  2. Step 2: Convert to fraction form
    52,809.25/109,986.75 = 109,986.75/x
  3. Step 3: Cross multiply
    52,809.25x = 109,986.75 × 109,986.75
  4. Step 4: Simplify right side
    52,809.25x = 12,097,085,175.56
  5. Step 5: Solve for x
    x = 12,097,085,175.56/52,809.25
  6. Step 6: Final answer
    x = 229,071.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.