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Finding the Third Proportional to 51,806.75 and 107,299

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Solution

The third proportional to 51,806.75 and 107,299 is: 222,231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,806.75 : 107,299 = 107,299 : x
  2. Step 2: Convert to fraction form
    51,806.75/107,299 = 107,299/x
  3. Step 3: Cross multiply
    51,806.75x = 107,299 × 107,299
  4. Step 4: Simplify right side
    51,806.75x = 11,513,075,401
  5. Step 5: Solve for x
    x = 11,513,075,401/51,806.75
  6. Step 6: Final answer
    x = 222,231.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.