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Finding the Third Proportional to 114,734.25 and 165,251.25

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Solution

The third proportional to 114,734.25 and 165,251.25 is: 238,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,734.25 : 165,251.25 = 165,251.25 : x
  2. Step 2: Convert to fraction form
    114,734.25/165,251.25 = 165,251.25/x
  3. Step 3: Cross multiply
    114,734.25x = 165,251.25 × 165,251.25
  4. Step 4: Simplify right side
    114,734.25x = 27,307,975,626.56
  5. Step 5: Solve for x
    x = 27,307,975,626.56/114,734.25
  6. Step 6: Final answer
    x = 238,010.67

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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.