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Finding the Third Proportional to 61,190.44 and 94,564.97

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Solution

The third proportional to 61,190.44 and 94,564.97 is: 146,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,190.44 : 94,564.97 = 94,564.97 : x
  2. Step 2: Convert to fraction form
    61,190.44/94,564.97 = 94,564.97/x
  3. Step 3: Cross multiply
    61,190.44x = 94,564.97 × 94,564.97
  4. Step 4: Simplify right side
    61,190.44x = 8,942,533,314.69
  5. Step 5: Solve for x
    x = 8,942,533,314.69/61,190.44
  6. Step 6: Final answer
    x = 146,142.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.