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Finding the Third Proportional to 32,207 and 67,936

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Solution

The third proportional to 32,207 and 67,936 is: 143,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,207 : 67,936 = 67,936 : x
  2. Step 2: Convert to fraction form
    32,207/67,936 = 67,936/x
  3. Step 3: Cross multiply
    32,207x = 67,936 × 67,936
  4. Step 4: Simplify right side
    32,207x = 4,615,300,096
  5. Step 5: Solve for x
    x = 4,615,300,096/32,207
  6. Step 6: Final answer
    x = 143,301.15

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.