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Finding the Third Proportional to 106,934 and 160,810

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Solution

The third proportional to 106,934 and 160,810 is: 241,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,934 : 160,810 = 160,810 : x
  2. Step 2: Convert to fraction form
    106,934/160,810 = 160,810/x
  3. Step 3: Cross multiply
    106,934x = 160,810 × 160,810
  4. Step 4: Simplify right side
    106,934x = 25,859,856,100
  5. Step 5: Solve for x
    x = 25,859,856,100/106,934
  6. Step 6: Final answer
    x = 241,830.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.