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Finding the Third Proportional to 101,394 and 146,863

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Solution

The third proportional to 101,394 and 146,863 is: 212,722.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,394 : 146,863 = 146,863 : x
  2. Step 2: Convert to fraction form
    101,394/146,863 = 146,863/x
  3. Step 3: Cross multiply
    101,394x = 146,863 × 146,863
  4. Step 4: Simplify right side
    101,394x = 21,568,740,769
  5. Step 5: Solve for x
    x = 21,568,740,769/101,394
  6. Step 6: Final answer
    x = 212,722.06

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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.