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Finding the Third Proportional to 43,024 and 92,641

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Solution

The third proportional to 43,024 and 92,641 is: 199,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,024 : 92,641 = 92,641 : x
  2. Step 2: Convert to fraction form
    43,024/92,641 = 92,641/x
  3. Step 3: Cross multiply
    43,024x = 92,641 × 92,641
  4. Step 4: Simplify right side
    43,024x = 8,582,354,881
  5. Step 5: Solve for x
    x = 8,582,354,881/43,024
  6. Step 6: Final answer
    x = 199,478.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.