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Finding the Third Proportional to 45,456 and 106,170

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Solution

The third proportional to 45,456 and 106,170 is: 247,977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,456 : 106,170 = 106,170 : x
  2. Step 2: Convert to fraction form
    45,456/106,170 = 106,170/x
  3. Step 3: Cross multiply
    45,456x = 106,170 × 106,170
  4. Step 4: Simplify right side
    45,456x = 11,272,068,900
  5. Step 5: Solve for x
    x = 11,272,068,900/45,456
  6. Step 6: Final answer
    x = 247,977.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.