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Finding the Third Proportional to 34,622 and 75,320

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Solution

The third proportional to 34,622 and 75,320 is: 163,858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,622 : 75,320 = 75,320 : x
  2. Step 2: Convert to fraction form
    34,622/75,320 = 75,320/x
  3. Step 3: Cross multiply
    34,622x = 75,320 × 75,320
  4. Step 4: Simplify right side
    34,622x = 5,673,102,400
  5. Step 5: Solve for x
    x = 5,673,102,400/34,622
  6. Step 6: Final answer
    x = 163,858.31

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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.