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Finding the Third Proportional to 47,339 and 73,299

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Solution

The third proportional to 47,339 and 73,299 is: 113,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,339 : 73,299 = 73,299 : x
  2. Step 2: Convert to fraction form
    47,339/73,299 = 73,299/x
  3. Step 3: Cross multiply
    47,339x = 73,299 × 73,299
  4. Step 4: Simplify right side
    47,339x = 5,372,743,401
  5. Step 5: Solve for x
    x = 5,372,743,401/47,339
  6. Step 6: Final answer
    x = 113,495.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.