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Finding the Third Proportional to 75,313 and 162,299

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Solution

The third proportional to 75,313 and 162,299 is: 349,753.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,313 : 162,299 = 162,299 : x
  2. Step 2: Convert to fraction form
    75,313/162,299 = 162,299/x
  3. Step 3: Cross multiply
    75,313x = 162,299 × 162,299
  4. Step 4: Simplify right side
    75,313x = 26,340,965,401
  5. Step 5: Solve for x
    x = 26,340,965,401/75,313
  6. Step 6: Final answer
    x = 349,753.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.