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Finding the Third Proportional to 85,104 and 134,696

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Solution

The third proportional to 85,104 and 134,696 is: 213,186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,104 : 134,696 = 134,696 : x
  2. Step 2: Convert to fraction form
    85,104/134,696 = 134,696/x
  3. Step 3: Cross multiply
    85,104x = 134,696 × 134,696
  4. Step 4: Simplify right side
    85,104x = 18,143,012,416
  5. Step 5: Solve for x
    x = 18,143,012,416/85,104
  6. Step 6: Final answer
    x = 213,186.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.