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Finding the Third Proportional to 39,533.06 and 87,166.13

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Solution

The third proportional to 39,533.06 and 87,166.13 is: 192,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,533.06 : 87,166.13 = 87,166.13 : x
  2. Step 2: Convert to fraction form
    39,533.06/87,166.13 = 87,166.13/x
  3. Step 3: Cross multiply
    39,533.06x = 87,166.13 × 87,166.13
  4. Step 4: Simplify right side
    39,533.06x = 7,597,933,347.52
  5. Step 5: Solve for x
    x = 7,597,933,347.52/39,533.06
  6. Step 6: Final answer
    x = 192,191.87

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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.