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Finding the Third Proportional to 64,982 and 95,167

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Solution

The third proportional to 64,982 and 95,167 is: 139,373.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,982 : 95,167 = 95,167 : x
  2. Step 2: Convert to fraction form
    64,982/95,167 = 95,167/x
  3. Step 3: Cross multiply
    64,982x = 95,167 × 95,167
  4. Step 4: Simplify right side
    64,982x = 9,056,757,889
  5. Step 5: Solve for x
    x = 9,056,757,889/64,982
  6. Step 6: Final answer
    x = 139,373.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.