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Finding the Third Proportional to 34,599 and 75,800

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Solution

The third proportional to 34,599 and 75,800 is: 166,063.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,599 : 75,800 = 75,800 : x
  2. Step 2: Convert to fraction form
    34,599/75,800 = 75,800/x
  3. Step 3: Cross multiply
    34,599x = 75,800 × 75,800
  4. Step 4: Simplify right side
    34,599x = 5,745,640,000
  5. Step 5: Solve for x
    x = 5,745,640,000/34,599
  6. Step 6: Final answer
    x = 166,063.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.