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Finding the Third Proportional to 67,132 and 94,103

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Solution

The third proportional to 67,132 and 94,103 is: 131,909.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,132 : 94,103 = 94,103 : x
  2. Step 2: Convert to fraction form
    67,132/94,103 = 94,103/x
  3. Step 3: Cross multiply
    67,132x = 94,103 × 94,103
  4. Step 4: Simplify right side
    67,132x = 8,855,374,609
  5. Step 5: Solve for x
    x = 8,855,374,609/67,132
  6. Step 6: Final answer
    x = 131,909.89

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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.