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Finding the Third Proportional to 32,234 and 66,916

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Solution

The third proportional to 32,234 and 66,916 is: 138,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,234 : 66,916 = 66,916 : x
  2. Step 2: Convert to fraction form
    32,234/66,916 = 66,916/x
  3. Step 3: Cross multiply
    32,234x = 66,916 × 66,916
  4. Step 4: Simplify right side
    32,234x = 4,477,751,056
  5. Step 5: Solve for x
    x = 4,477,751,056/32,234
  6. Step 6: Final answer
    x = 138,913.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.