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Finding the Third Proportional to 69,478.50 and 151,668.75

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Solution

The third proportional to 69,478.50 and 151,668.75 is: 331,086.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,478.50 : 151,668.75 = 151,668.75 : x
  2. Step 2: Convert to fraction form
    69,478.50/151,668.75 = 151,668.75/x
  3. Step 3: Cross multiply
    69,478.50x = 151,668.75 × 151,668.75
  4. Step 4: Simplify right side
    69,478.50x = 23,003,409,726.56
  5. Step 5: Solve for x
    x = 23,003,409,726.56/69,478.50
  6. Step 6: Final answer
    x = 331,086.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.