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Finding the Third Proportional to 42,933 and 93,494

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Solution

The third proportional to 42,933 and 93,494 is: 203,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,933 : 93,494 = 93,494 : x
  2. Step 2: Convert to fraction form
    42,933/93,494 = 93,494/x
  3. Step 3: Cross multiply
    42,933x = 93,494 × 93,494
  4. Step 4: Simplify right side
    42,933x = 8,741,128,036
  5. Step 5: Solve for x
    x = 8,741,128,036/42,933
  6. Step 6: Final answer
    x = 203,599.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.