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Finding the Third Proportional to 43,579 and 92,054

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Solution

The third proportional to 43,579 and 92,054 is: 194,450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,579 : 92,054 = 92,054 : x
  2. Step 2: Convert to fraction form
    43,579/92,054 = 92,054/x
  3. Step 3: Cross multiply
    43,579x = 92,054 × 92,054
  4. Step 4: Simplify right side
    43,579x = 8,473,938,916
  5. Step 5: Solve for x
    x = 8,473,938,916/43,579
  6. Step 6: Final answer
    x = 194,450.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.