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Finding the Third Proportional to 62,194 and 134,212

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Solution

The third proportional to 62,194 and 134,212 is: 289,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,194 : 134,212 = 134,212 : x
  2. Step 2: Convert to fraction form
    62,194/134,212 = 134,212/x
  3. Step 3: Cross multiply
    62,194x = 134,212 × 134,212
  4. Step 4: Simplify right side
    62,194x = 18,012,860,944
  5. Step 5: Solve for x
    x = 18,012,860,944/62,194
  6. Step 6: Final answer
    x = 289,623.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.