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Finding the Third Proportional to 71,348.75 and 104,954.25

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Solution

The third proportional to 71,348.75 and 104,954.25 is: 154,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,348.75 : 104,954.25 = 104,954.25 : x
  2. Step 2: Convert to fraction form
    71,348.75/104,954.25 = 104,954.25/x
  3. Step 3: Cross multiply
    71,348.75x = 104,954.25 × 104,954.25
  4. Step 4: Simplify right side
    71,348.75x = 11,015,394,593.06
  5. Step 5: Solve for x
    x = 11,015,394,593.06/71,348.75
  6. Step 6: Final answer
    x = 154,388.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.