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Finding the Third Proportional to 93,074 and 194,020

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Solution

The third proportional to 93,074 and 194,020 is: 404,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,074 : 194,020 = 194,020 : x
  2. Step 2: Convert to fraction form
    93,074/194,020 = 194,020/x
  3. Step 3: Cross multiply
    93,074x = 194,020 × 194,020
  4. Step 4: Simplify right side
    93,074x = 37,643,760,400
  5. Step 5: Solve for x
    x = 37,643,760,400/93,074
  6. Step 6: Final answer
    x = 404,449.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.