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Finding the Third Proportional to 93,754 and 202,474

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Solution

The third proportional to 93,754 and 202,474 is: 437,269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,754 : 202,474 = 202,474 : x
  2. Step 2: Convert to fraction form
    93,754/202,474 = 202,474/x
  3. Step 3: Cross multiply
    93,754x = 202,474 × 202,474
  4. Step 4: Simplify right side
    93,754x = 40,995,720,676
  5. Step 5: Solve for x
    x = 40,995,720,676/93,754
  6. Step 6: Final answer
    x = 437,269.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.