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Finding the Third Proportional to 74,001 and 108,234

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Solution

The third proportional to 74,001 and 108,234 is: 158,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,001 : 108,234 = 108,234 : x
  2. Step 2: Convert to fraction form
    74,001/108,234 = 108,234/x
  3. Step 3: Cross multiply
    74,001x = 108,234 × 108,234
  4. Step 4: Simplify right side
    74,001x = 11,714,598,756
  5. Step 5: Solve for x
    x = 11,714,598,756/74,001
  6. Step 6: Final answer
    x = 158,303.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.