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Finding the Third Proportional to 43,214 and 93,805

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Solution

The third proportional to 43,214 and 93,805 is: 203,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,214 : 93,805 = 93,805 : x
  2. Step 2: Convert to fraction form
    43,214/93,805 = 93,805/x
  3. Step 3: Cross multiply
    43,214x = 93,805 × 93,805
  4. Step 4: Simplify right side
    43,214x = 8,799,378,025
  5. Step 5: Solve for x
    x = 8,799,378,025/43,214
  6. Step 6: Final answer
    x = 203,623.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.