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Finding the Third Proportional to 71,464 and 150,976

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Solution

The third proportional to 71,464 and 150,976 is: 318,954.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,464 : 150,976 = 150,976 : x
  2. Step 2: Convert to fraction form
    71,464/150,976 = 150,976/x
  3. Step 3: Cross multiply
    71,464x = 150,976 × 150,976
  4. Step 4: Simplify right side
    71,464x = 22,793,752,576
  5. Step 5: Solve for x
    x = 22,793,752,576/71,464
  6. Step 6: Final answer
    x = 318,954.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.