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Finding the Third Proportional to 68,544 and 93,379.50

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Solution

The third proportional to 68,544 and 93,379.50 is: 127,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,544 : 93,379.50 = 93,379.50 : x
  2. Step 2: Convert to fraction form
    68,544/93,379.50 = 93,379.50/x
  3. Step 3: Cross multiply
    68,544x = 93,379.50 × 93,379.50
  4. Step 4: Simplify right side
    68,544x = 8,719,731,020.25
  5. Step 5: Solve for x
    x = 8,719,731,020.25/68,544
  6. Step 6: Final answer
    x = 127,213.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.