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Finding the Third Proportional to 34,536 and 75,318

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Solution

The third proportional to 34,536 and 75,318 is: 164,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,536 : 75,318 = 75,318 : x
  2. Step 2: Convert to fraction form
    34,536/75,318 = 75,318/x
  3. Step 3: Cross multiply
    34,536x = 75,318 × 75,318
  4. Step 4: Simplify right side
    34,536x = 5,672,801,124
  5. Step 5: Solve for x
    x = 5,672,801,124/34,536
  6. Step 6: Final answer
    x = 164,257.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.