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Finding the Third Proportional to 47,254 and 96,668

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Solution

The third proportional to 47,254 and 96,668 is: 197,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,254 : 96,668 = 96,668 : x
  2. Step 2: Convert to fraction form
    47,254/96,668 = 96,668/x
  3. Step 3: Cross multiply
    47,254x = 96,668 × 96,668
  4. Step 4: Simplify right side
    47,254x = 9,344,702,224
  5. Step 5: Solve for x
    x = 9,344,702,224/47,254
  6. Step 6: Final answer
    x = 197,754.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.