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Finding the Third Proportional to 64,206 and 85,194

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Solution

The third proportional to 64,206 and 85,194 is: 113,042.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,206 : 85,194 = 85,194 : x
  2. Step 2: Convert to fraction form
    64,206/85,194 = 85,194/x
  3. Step 3: Cross multiply
    64,206x = 85,194 × 85,194
  4. Step 4: Simplify right side
    64,206x = 7,258,017,636
  5. Step 5: Solve for x
    x = 7,258,017,636/64,206
  6. Step 6: Final answer
    x = 113,042.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.