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Finding the Third Proportional to 39,658.36 and 87,164.86

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Solution

The third proportional to 39,658.36 and 87,164.86 is: 191,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,658.36 : 87,164.86 = 87,164.86 : x
  2. Step 2: Convert to fraction form
    39,658.36/87,164.86 = 87,164.86/x
  3. Step 3: Cross multiply
    39,658.36x = 87,164.86 × 87,164.86
  4. Step 4: Simplify right side
    39,658.36x = 7,597,712,709.86
  5. Step 5: Solve for x
    x = 7,597,712,709.86/39,658.36
  6. Step 6: Final answer
    x = 191,579.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.