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Finding the Third Proportional to 67,106 and 104,331

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Solution

The third proportional to 67,106 and 104,331 is: 162,205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,106 : 104,331 = 104,331 : x
  2. Step 2: Convert to fraction form
    67,106/104,331 = 104,331/x
  3. Step 3: Cross multiply
    67,106x = 104,331 × 104,331
  4. Step 4: Simplify right side
    67,106x = 10,884,957,561
  5. Step 5: Solve for x
    x = 10,884,957,561/67,106
  6. Step 6: Final answer
    x = 162,205.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.