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Finding the Third Proportional to 34,234 and 73,523

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Solution

The third proportional to 34,234 and 73,523 is: 157,902.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,234 : 73,523 = 73,523 : x
  2. Step 2: Convert to fraction form
    34,234/73,523 = 73,523/x
  3. Step 3: Cross multiply
    34,234x = 73,523 × 73,523
  4. Step 4: Simplify right side
    34,234x = 5,405,631,529
  5. Step 5: Solve for x
    x = 5,405,631,529/34,234
  6. Step 6: Final answer
    x = 157,902.42

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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.