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Finding the Third Proportional to 114,729.75 and 165,245.06

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Solution

The third proportional to 114,729.75 and 165,245.06 is: 238,002.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,729.75 : 165,245.06 = 165,245.06 : x
  2. Step 2: Convert to fraction form
    114,729.75/165,245.06 = 165,245.06/x
  3. Step 3: Cross multiply
    114,729.75x = 165,245.06 × 165,245.06
  4. Step 4: Simplify right side
    114,729.75x = 27,305,930,680.63
  5. Step 5: Solve for x
    x = 27,305,930,680.63/114,729.75
  6. Step 6: Final answer
    x = 238,002.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.