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Finding the Third Proportional to 101,987 and 146,892

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Solution

The third proportional to 101,987 and 146,892 is: 211,568.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,987 : 146,892 = 146,892 : x
  2. Step 2: Convert to fraction form
    101,987/146,892 = 146,892/x
  3. Step 3: Cross multiply
    101,987x = 146,892 × 146,892
  4. Step 4: Simplify right side
    101,987x = 21,577,259,664
  5. Step 5: Solve for x
    x = 21,577,259,664/101,987
  6. Step 6: Final answer
    x = 211,568.73

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.