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Finding the Third Proportional to 62,061 and 133,962

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Solution

The third proportional to 62,061 and 133,962 is: 289,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,061 : 133,962 = 133,962 : x
  2. Step 2: Convert to fraction form
    62,061/133,962 = 133,962/x
  3. Step 3: Cross multiply
    62,061x = 133,962 × 133,962
  4. Step 4: Simplify right side
    62,061x = 17,945,817,444
  5. Step 5: Solve for x
    x = 17,945,817,444/62,061
  6. Step 6: Final answer
    x = 289,164.17

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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.