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Finding the Third Proportional to 71,264 and 154,672

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Solution

The third proportional to 71,264 and 154,672 is: 335,701.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,264 : 154,672 = 154,672 : x
  2. Step 2: Convert to fraction form
    71,264/154,672 = 154,672/x
  3. Step 3: Cross multiply
    71,264x = 154,672 × 154,672
  4. Step 4: Simplify right side
    71,264x = 23,923,427,584
  5. Step 5: Solve for x
    x = 23,923,427,584/71,264
  6. Step 6: Final answer
    x = 335,701.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.