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Finding the Third Proportional to 71,541 and 154,153

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Solution

The third proportional to 71,541 and 154,153 is: 332,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,541 : 154,153 = 154,153 : x
  2. Step 2: Convert to fraction form
    71,541/154,153 = 154,153/x
  3. Step 3: Cross multiply
    71,541x = 154,153 × 154,153
  4. Step 4: Simplify right side
    71,541x = 23,763,147,409
  5. Step 5: Solve for x
    x = 23,763,147,409/71,541
  6. Step 6: Final answer
    x = 332,161.24

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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.