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Finding the Third Proportional to 34,454 and 74,722

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Solution

The third proportional to 34,454 and 74,722 is: 162,053.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,454 : 74,722 = 74,722 : x
  2. Step 2: Convert to fraction form
    34,454/74,722 = 74,722/x
  3. Step 3: Cross multiply
    34,454x = 74,722 × 74,722
  4. Step 4: Simplify right side
    34,454x = 5,583,377,284
  5. Step 5: Solve for x
    x = 5,583,377,284/34,454
  6. Step 6: Final answer
    x = 162,053.09

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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.