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Finding the Third Proportional to 67,129 and 94,101

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Solution

The third proportional to 67,129 and 94,101 is: 131,910.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,129 : 94,101 = 94,101 : x
  2. Step 2: Convert to fraction form
    67,129/94,101 = 94,101/x
  3. Step 3: Cross multiply
    67,129x = 94,101 × 94,101
  4. Step 4: Simplify right side
    67,129x = 8,854,998,201
  5. Step 5: Solve for x
    x = 8,854,998,201/67,129
  6. Step 6: Final answer
    x = 131,910.18

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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.