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Finding the Third Proportional to 71,770.64 and 154,509.19

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Solution

The third proportional to 71,770.64 and 154,509.19 is: 332,630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,770.64 : 154,509.19 = 154,509.19 : x
  2. Step 2: Convert to fraction form
    71,770.64/154,509.19 = 154,509.19/x
  3. Step 3: Cross multiply
    71,770.64x = 154,509.19 × 154,509.19
  4. Step 4: Simplify right side
    71,770.64x = 23,873,089,021.91
  5. Step 5: Solve for x
    x = 23,873,089,021.91/71,770.64
  6. Step 6: Final answer
    x = 332,630.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.