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Finding the Third Proportional to 34,301 and 75,161

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Solution

The third proportional to 34,301 and 75,161 is: 164,694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,301 : 75,161 = 75,161 : x
  2. Step 2: Convert to fraction form
    34,301/75,161 = 75,161/x
  3. Step 3: Cross multiply
    34,301x = 75,161 × 75,161
  4. Step 4: Simplify right side
    34,301x = 5,649,175,921
  5. Step 5: Solve for x
    x = 5,649,175,921/34,301
  6. Step 6: Final answer
    x = 164,694.20

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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.