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Finding the Third Proportional to 34,269 and 75,099

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Solution

The third proportional to 34,269 and 75,099 is: 164,576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,269 : 75,099 = 75,099 : x
  2. Step 2: Convert to fraction form
    34,269/75,099 = 75,099/x
  3. Step 3: Cross multiply
    34,269x = 75,099 × 75,099
  4. Step 4: Simplify right side
    34,269x = 5,639,859,801
  5. Step 5: Solve for x
    x = 5,639,859,801/34,269
  6. Step 6: Final answer
    x = 164,576.14

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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.