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Finding the Third Proportional to 40,216 and 61,187

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Solution

The third proportional to 40,216 and 61,187 is: 93,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,216 : 61,187 = 61,187 : x
  2. Step 2: Convert to fraction form
    40,216/61,187 = 61,187/x
  3. Step 3: Cross multiply
    40,216x = 61,187 × 61,187
  4. Step 4: Simplify right side
    40,216x = 3,743,848,969
  5. Step 5: Solve for x
    x = 3,743,848,969/40,216
  6. Step 6: Final answer
    x = 93,093.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.