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Finding the Third Proportional to 34,073 and 73,333

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Solution

The third proportional to 34,073 and 73,333 is: 157,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,073 : 73,333 = 73,333 : x
  2. Step 2: Convert to fraction form
    34,073/73,333 = 73,333/x
  3. Step 3: Cross multiply
    34,073x = 73,333 × 73,333
  4. Step 4: Simplify right side
    34,073x = 5,377,728,889
  5. Step 5: Solve for x
    x = 5,377,728,889/34,073
  6. Step 6: Final answer
    x = 157,829.63

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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.