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Finding the Third Proportional to 43,362 and 89,634

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Solution

The third proportional to 43,362 and 89,634 is: 185,283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,362 : 89,634 = 89,634 : x
  2. Step 2: Convert to fraction form
    43,362/89,634 = 89,634/x
  3. Step 3: Cross multiply
    43,362x = 89,634 × 89,634
  4. Step 4: Simplify right side
    43,362x = 8,034,253,956
  5. Step 5: Solve for x
    x = 8,034,253,956/43,362
  6. Step 6: Final answer
    x = 185,283.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.