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Finding the Third Proportional to 111,733.50 and 165,426.75

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Solution

The third proportional to 111,733.50 and 165,426.75 is: 244,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,733.50 : 165,426.75 = 165,426.75 : x
  2. Step 2: Convert to fraction form
    111,733.50/165,426.75 = 165,426.75/x
  3. Step 3: Cross multiply
    111,733.50x = 165,426.75 × 165,426.75
  4. Step 4: Simplify right side
    111,733.50x = 27,366,009,615.56
  5. Step 5: Solve for x
    x = 27,366,009,615.56/111,733.50
  6. Step 6: Final answer
    x = 244,922.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.