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Finding the Third Proportional to 116,442 and 163,930

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Solution

The third proportional to 116,442 and 163,930 is: 230,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,442 : 163,930 = 163,930 : x
  2. Step 2: Convert to fraction form
    116,442/163,930 = 163,930/x
  3. Step 3: Cross multiply
    116,442x = 163,930 × 163,930
  4. Step 4: Simplify right side
    116,442x = 26,873,044,900
  5. Step 5: Solve for x
    x = 26,873,044,900/116,442
  6. Step 6: Final answer
    x = 230,784.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.