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Finding the Third Proportional to 43,023 and 94,305

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Solution

The third proportional to 43,023 and 94,305 is: 206,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,023 : 94,305 = 94,305 : x
  2. Step 2: Convert to fraction form
    43,023/94,305 = 94,305/x
  3. Step 3: Cross multiply
    43,023x = 94,305 × 94,305
  4. Step 4: Simplify right side
    43,023x = 8,893,433,025
  5. Step 5: Solve for x
    x = 8,893,433,025/43,023
  6. Step 6: Final answer
    x = 206,713.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.