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Finding the Third Proportional to 57,424.69 and 92,190.75

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Solution

The third proportional to 57,424.69 and 92,190.75 is: 148,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,424.69 : 92,190.75 = 92,190.75 : x
  2. Step 2: Convert to fraction form
    57,424.69/92,190.75 = 92,190.75/x
  3. Step 3: Cross multiply
    57,424.69x = 92,190.75 × 92,190.75
  4. Step 4: Simplify right side
    57,424.69x = 8,499,134,385.56
  5. Step 5: Solve for x
    x = 8,499,134,385.56/57,424.69
  6. Step 6: Final answer
    x = 148,004.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.