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Finding the Third Proportional to 62,072 and 134,512

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Solution

The third proportional to 62,072 and 134,512 is: 291,491.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,072 : 134,512 = 134,512 : x
  2. Step 2: Convert to fraction form
    62,072/134,512 = 134,512/x
  3. Step 3: Cross multiply
    62,072x = 134,512 × 134,512
  4. Step 4: Simplify right side
    62,072x = 18,093,478,144
  5. Step 5: Solve for x
    x = 18,093,478,144/62,072
  6. Step 6: Final answer
    x = 291,491.79

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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.