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Finding the Third Proportional to 102,018 and 146,923

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Solution

The third proportional to 102,018 and 146,923 is: 211,593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,018 : 146,923 = 146,923 : x
  2. Step 2: Convert to fraction form
    102,018/146,923 = 146,923/x
  3. Step 3: Cross multiply
    102,018x = 146,923 × 146,923
  4. Step 4: Simplify right side
    102,018x = 21,586,367,929
  5. Step 5: Solve for x
    x = 21,586,367,929/102,018
  6. Step 6: Final answer
    x = 211,593.72

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Why These Related Problems?

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