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Finding the Third Proportional to 100,944 and 146,718

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Solution

The third proportional to 100,944 and 146,718 is: 213,248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,944 : 146,718 = 146,718 : x
  2. Step 2: Convert to fraction form
    100,944/146,718 = 146,718/x
  3. Step 3: Cross multiply
    100,944x = 146,718 × 146,718
  4. Step 4: Simplify right side
    100,944x = 21,526,171,524
  5. Step 5: Solve for x
    x = 21,526,171,524/100,944
  6. Step 6: Final answer
    x = 213,248.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.