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Finding the Third Proportional to 71,274 and 153,960

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Solution

The third proportional to 71,274 and 153,960 is: 332,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,274 : 153,960 = 153,960 : x
  2. Step 2: Convert to fraction form
    71,274/153,960 = 153,960/x
  3. Step 3: Cross multiply
    71,274x = 153,960 × 153,960
  4. Step 4: Simplify right side
    71,274x = 23,703,681,600
  5. Step 5: Solve for x
    x = 23,703,681,600/71,274
  6. Step 6: Final answer
    x = 332,571.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.