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Finding the Third Proportional to 40,101.75 and 87,033.38

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Solution

The third proportional to 40,101.75 and 87,033.38 is: 188,889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,101.75 : 87,033.38 = 87,033.38 : x
  2. Step 2: Convert to fraction form
    40,101.75/87,033.38 = 87,033.38/x
  3. Step 3: Cross multiply
    40,101.75x = 87,033.38 × 87,033.38
  4. Step 4: Simplify right side
    40,101.75x = 7,574,808,363.89
  5. Step 5: Solve for x
    x = 7,574,808,363.89/40,101.75
  6. Step 6: Final answer
    x = 188,889.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.