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Finding the Third Proportional to 43,054 and 92,705

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Solution

The third proportional to 43,054 and 92,705 is: 199,614.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,054 : 92,705 = 92,705 : x
  2. Step 2: Convert to fraction form
    43,054/92,705 = 92,705/x
  3. Step 3: Cross multiply
    43,054x = 92,705 × 92,705
  4. Step 4: Simplify right side
    43,054x = 8,594,217,025
  5. Step 5: Solve for x
    x = 8,594,217,025/43,054
  6. Step 6: Final answer
    x = 199,614.83

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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.