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Finding the Third Proportional to 34,942 and 75,790

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Solution

The third proportional to 34,942 and 75,790 is: 164,390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,942 : 75,790 = 75,790 : x
  2. Step 2: Convert to fraction form
    34,942/75,790 = 75,790/x
  3. Step 3: Cross multiply
    34,942x = 75,790 × 75,790
  4. Step 4: Simplify right side
    34,942x = 5,744,124,100
  5. Step 5: Solve for x
    x = 5,744,124,100/34,942
  6. Step 6: Final answer
    x = 164,390.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.