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Finding the Third Proportional to 114,481.50 and 168,291.75

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Solution

The third proportional to 114,481.50 and 168,291.75 is: 247,394.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,481.50 : 168,291.75 = 168,291.75 : x
  2. Step 2: Convert to fraction form
    114,481.50/168,291.75 = 168,291.75/x
  3. Step 3: Cross multiply
    114,481.50x = 168,291.75 × 168,291.75
  4. Step 4: Simplify right side
    114,481.50x = 28,322,113,118.06
  5. Step 5: Solve for x
    x = 28,322,113,118.06/114,481.50
  6. Step 6: Final answer
    x = 247,394.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.