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Finding the Third Proportional to 67,145 and 94,125

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Solution

The third proportional to 67,145 and 94,125 is: 131,946.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,145 : 94,125 = 94,125 : x
  2. Step 2: Convert to fraction form
    67,145/94,125 = 94,125/x
  3. Step 3: Cross multiply
    67,145x = 94,125 × 94,125
  4. Step 4: Simplify right side
    67,145x = 8,859,515,625
  5. Step 5: Solve for x
    x = 8,859,515,625/67,145
  6. Step 6: Final answer
    x = 131,946.02

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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.