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Finding the Third Proportional to 62,059 and 133,958

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Solution

The third proportional to 62,059 and 133,958 is: 289,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,059 : 133,958 = 133,958 : x
  2. Step 2: Convert to fraction form
    62,059/133,958 = 133,958/x
  3. Step 3: Cross multiply
    62,059x = 133,958 × 133,958
  4. Step 4: Simplify right side
    62,059x = 17,944,745,764
  5. Step 5: Solve for x
    x = 17,944,745,764/62,059
  6. Step 6: Final answer
    x = 289,156.22

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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.