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Finding the Third Proportional to 61,422 and 133,962

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Solution

The third proportional to 61,422 and 133,962 is: 292,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,422 : 133,962 = 133,962 : x
  2. Step 2: Convert to fraction form
    61,422/133,962 = 133,962/x
  3. Step 3: Cross multiply
    61,422x = 133,962 × 133,962
  4. Step 4: Simplify right side
    61,422x = 17,945,817,444
  5. Step 5: Solve for x
    x = 17,945,817,444/61,422
  6. Step 6: Final answer
    x = 292,172.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.