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Finding the Third Proportional to 61,190.44 and 141,942.38

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Solution

The third proportional to 61,190.44 and 141,942.38 is: 329,261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,190.44 : 141,942.38 = 141,942.38 : x
  2. Step 2: Convert to fraction form
    61,190.44/141,942.38 = 141,942.38/x
  3. Step 3: Cross multiply
    61,190.44x = 141,942.38 × 141,942.38
  4. Step 4: Simplify right side
    61,190.44x = 20,147,637,820.64
  5. Step 5: Solve for x
    x = 20,147,637,820.64/61,190.44
  6. Step 6: Final answer
    x = 329,261.22

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.