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Finding the Third Proportional to 74,873 and 160,762

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Solution

The third proportional to 74,873 and 160,762 is: 345,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,873 : 160,762 = 160,762 : x
  2. Step 2: Convert to fraction form
    74,873/160,762 = 160,762/x
  3. Step 3: Cross multiply
    74,873x = 160,762 × 160,762
  4. Step 4: Simplify right side
    74,873x = 25,844,420,644
  5. Step 5: Solve for x
    x = 25,844,420,644/74,873
  6. Step 6: Final answer
    x = 345,176.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.