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Finding the Third Proportional to 62,032 and 137,912

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Solution

The third proportional to 62,032 and 137,912 is: 306,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,032 : 137,912 = 137,912 : x
  2. Step 2: Convert to fraction form
    62,032/137,912 = 137,912/x
  3. Step 3: Cross multiply
    62,032x = 137,912 × 137,912
  4. Step 4: Simplify right side
    62,032x = 19,019,719,744
  5. Step 5: Solve for x
    x = 19,019,719,744/62,032
  6. Step 6: Final answer
    x = 306,611.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.