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Finding the Third Proportional to 64,344.50 and 92,825

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Solution

The third proportional to 64,344.50 and 92,825 is: 133,911.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,344.50 : 92,825 = 92,825 : x
  2. Step 2: Convert to fraction form
    64,344.50/92,825 = 92,825/x
  3. Step 3: Cross multiply
    64,344.50x = 92,825 × 92,825
  4. Step 4: Simplify right side
    64,344.50x = 8,616,480,625
  5. Step 5: Solve for x
    x = 8,616,480,625/64,344.50
  6. Step 6: Final answer
    x = 133,911.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.