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Finding the Third Proportional to 47,704 and 94,202

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Solution

The third proportional to 47,704 and 94,202 is: 186,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,704 : 94,202 = 94,202 : x
  2. Step 2: Convert to fraction form
    47,704/94,202 = 94,202/x
  3. Step 3: Cross multiply
    47,704x = 94,202 × 94,202
  4. Step 4: Simplify right side
    47,704x = 8,874,016,804
  5. Step 5: Solve for x
    x = 8,874,016,804/47,704
  6. Step 6: Final answer
    x = 186,022.49

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.