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Finding the Third Proportional to 43,864 and 92,709

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Solution

The third proportional to 43,864 and 92,709 is: 195,945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,864 : 92,709 = 92,709 : x
  2. Step 2: Convert to fraction form
    43,864/92,709 = 92,709/x
  3. Step 3: Cross multiply
    43,864x = 92,709 × 92,709
  4. Step 4: Simplify right side
    43,864x = 8,594,958,681
  5. Step 5: Solve for x
    x = 8,594,958,681/43,864
  6. Step 6: Final answer
    x = 195,945.62

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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.