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Finding the Third Proportional to 71,296 and 151,299

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Solution

The third proportional to 71,296 and 151,299 is: 321,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,296 : 151,299 = 151,299 : x
  2. Step 2: Convert to fraction form
    71,296/151,299 = 151,299/x
  3. Step 3: Cross multiply
    71,296x = 151,299 × 151,299
  4. Step 4: Simplify right side
    71,296x = 22,891,387,401
  5. Step 5: Solve for x
    x = 22,891,387,401/71,296
  6. Step 6: Final answer
    x = 321,075.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.