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Finding the Third Proportional to 62,016 and 133,968

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Solution

The third proportional to 62,016 and 133,968 is: 289,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,016 : 133,968 = 133,968 : x
  2. Step 2: Convert to fraction form
    62,016/133,968 = 133,968/x
  3. Step 3: Cross multiply
    62,016x = 133,968 × 133,968
  4. Step 4: Simplify right side
    62,016x = 17,947,425,024
  5. Step 5: Solve for x
    x = 17,947,425,024/62,016
  6. Step 6: Final answer
    x = 289,399.91

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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.