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Finding the Third Proportional to 47,042 and 101,668

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Solution

The third proportional to 47,042 and 101,668 is: 219,726.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,042 : 101,668 = 101,668 : x
  2. Step 2: Convert to fraction form
    47,042/101,668 = 101,668/x
  3. Step 3: Cross multiply
    47,042x = 101,668 × 101,668
  4. Step 4: Simplify right side
    47,042x = 10,336,382,224
  5. Step 5: Solve for x
    x = 10,336,382,224/47,042
  6. Step 6: Final answer
    x = 219,726.67

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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.