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Finding the Third Proportional to 39,171 and 85,358.50

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Solution

The third proportional to 39,171 and 85,358.50 is: 186,006.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,171 : 85,358.50 = 85,358.50 : x
  2. Step 2: Convert to fraction form
    39,171/85,358.50 = 85,358.50/x
  3. Step 3: Cross multiply
    39,171x = 85,358.50 × 85,358.50
  4. Step 4: Simplify right side
    39,171x = 7,286,073,522.25
  5. Step 5: Solve for x
    x = 7,286,073,522.25/39,171
  6. Step 6: Final answer
    x = 186,006.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.