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Finding the Third Proportional to 67,205 and 94,194

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Solution

The third proportional to 67,205 and 94,194 is: 132,021.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,205 : 94,194 = 94,194 : x
  2. Step 2: Convert to fraction form
    67,205/94,194 = 94,194/x
  3. Step 3: Cross multiply
    67,205x = 94,194 × 94,194
  4. Step 4: Simplify right side
    67,205x = 8,872,509,636
  5. Step 5: Solve for x
    x = 8,872,509,636/67,205
  6. Step 6: Final answer
    x = 132,021.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.