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Finding the Third Proportional to 55,962 and 117,330.75

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Solution

The third proportional to 55,962 and 117,330.75 is: 245,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,962 : 117,330.75 = 117,330.75 : x
  2. Step 2: Convert to fraction form
    55,962/117,330.75 = 117,330.75/x
  3. Step 3: Cross multiply
    55,962x = 117,330.75 × 117,330.75
  4. Step 4: Simplify right side
    55,962x = 13,766,504,895.56
  5. Step 5: Solve for x
    x = 13,766,504,895.56/55,962
  6. Step 6: Final answer
    x = 245,997.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.