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Finding the Third Proportional to 47,668 and 91,007

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Solution

The third proportional to 47,668 and 91,007 is: 173,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,668 : 91,007 = 91,007 : x
  2. Step 2: Convert to fraction form
    47,668/91,007 = 91,007/x
  3. Step 3: Cross multiply
    47,668x = 91,007 × 91,007
  4. Step 4: Simplify right side
    47,668x = 8,282,274,049
  5. Step 5: Solve for x
    x = 8,282,274,049/47,668
  6. Step 6: Final answer
    x = 173,749.14

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.