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Finding the Third Proportional to 106,170 and 160,614

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Solution

The third proportional to 106,170 and 160,614 is: 242,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,170 : 160,614 = 160,614 : x
  2. Step 2: Convert to fraction form
    106,170/160,614 = 160,614/x
  3. Step 3: Cross multiply
    106,170x = 160,614 × 160,614
  4. Step 4: Simplify right side
    106,170x = 25,796,856,996
  5. Step 5: Solve for x
    x = 25,796,856,996/106,170
  6. Step 6: Final answer
    x = 242,976.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.