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Finding the Third Proportional to 34,100 and 74,395

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Solution

The third proportional to 34,100 and 74,395 is: 162,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,100 : 74,395 = 74,395 : x
  2. Step 2: Convert to fraction form
    34,100/74,395 = 74,395/x
  3. Step 3: Cross multiply
    34,100x = 74,395 × 74,395
  4. Step 4: Simplify right side
    34,100x = 5,534,616,025
  5. Step 5: Solve for x
    x = 5,534,616,025/34,100
  6. Step 6: Final answer
    x = 162,305.46

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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.