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Finding the Third Proportional to 60,682 and 131,299

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Solution

The third proportional to 60,682 and 131,299 is: 284,094.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,682 : 131,299 = 131,299 : x
  2. Step 2: Convert to fraction form
    60,682/131,299 = 131,299/x
  3. Step 3: Cross multiply
    60,682x = 131,299 × 131,299
  4. Step 4: Simplify right side
    60,682x = 17,239,427,401
  5. Step 5: Solve for x
    x = 17,239,427,401/60,682
  6. Step 6: Final answer
    x = 284,094.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.