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Finding the Third Proportional to 110,207.14 and 164,883.57

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Solution

The third proportional to 110,207.14 and 164,883.57 is: 246,686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,207.14 : 164,883.57 = 164,883.57 : x
  2. Step 2: Convert to fraction form
    110,207.14/164,883.57 = 164,883.57/x
  3. Step 3: Cross multiply
    110,207.14x = 164,883.57 × 164,883.57
  4. Step 4: Simplify right side
    110,207.14x = 27,186,591,114.92
  5. Step 5: Solve for x
    x = 27,186,591,114.92/110,207.14
  6. Step 6: Final answer
    x = 246,686.29

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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.