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Finding the Third Proportional to 40,054 and 92,723

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Solution

The third proportional to 40,054 and 92,723 is: 214,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,054 : 92,723 = 92,723 : x
  2. Step 2: Convert to fraction form
    40,054/92,723 = 92,723/x
  3. Step 3: Cross multiply
    40,054x = 92,723 × 92,723
  4. Step 4: Simplify right side
    40,054x = 8,597,554,729
  5. Step 5: Solve for x
    x = 8,597,554,729/40,054
  6. Step 6: Final answer
    x = 214,649.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.