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Finding the Third Proportional to 114,738.50 and 165,255.75

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Solution

The third proportional to 114,738.50 and 165,255.75 is: 238,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,738.50 : 165,255.75 = 165,255.75 : x
  2. Step 2: Convert to fraction form
    114,738.50/165,255.75 = 165,255.75/x
  3. Step 3: Cross multiply
    114,738.50x = 165,255.75 × 165,255.75
  4. Step 4: Simplify right side
    114,738.50x = 27,309,462,908.06
  5. Step 5: Solve for x
    x = 27,309,462,908.06/114,738.50
  6. Step 6: Final answer
    x = 238,014.82

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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.