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Finding the Third Proportional to 64,167 and 134,166

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Solution

The third proportional to 64,167 and 134,166 is: 280,526.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,167 : 134,166 = 134,166 : x
  2. Step 2: Convert to fraction form
    64,167/134,166 = 134,166/x
  3. Step 3: Cross multiply
    64,167x = 134,166 × 134,166
  4. Step 4: Simplify right side
    64,167x = 18,000,515,556
  5. Step 5: Solve for x
    x = 18,000,515,556/64,167
  6. Step 6: Final answer
    x = 280,526.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.