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Finding the Third Proportional to 67,378 and 93,443

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Solution

The third proportional to 67,378 and 93,443 is: 129,591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,378 : 93,443 = 93,443 : x
  2. Step 2: Convert to fraction form
    67,378/93,443 = 93,443/x
  3. Step 3: Cross multiply
    67,378x = 93,443 × 93,443
  4. Step 4: Simplify right side
    67,378x = 8,731,594,249
  5. Step 5: Solve for x
    x = 8,731,594,249/67,378
  6. Step 6: Final answer
    x = 129,591.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.