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Finding the Third Proportional to 76,033 and 162,722

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Solution

The third proportional to 76,033 and 162,722 is: 348,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,033 : 162,722 = 162,722 : x
  2. Step 2: Convert to fraction form
    76,033/162,722 = 162,722/x
  3. Step 3: Cross multiply
    76,033x = 162,722 × 162,722
  4. Step 4: Simplify right side
    76,033x = 26,478,449,284
  5. Step 5: Solve for x
    x = 26,478,449,284/76,033
  6. Step 6: Final answer
    x = 348,249.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.