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Finding the Third Proportional to 47,946 and 103,668

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Solution

The third proportional to 47,946 and 103,668 is: 224,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,946 : 103,668 = 103,668 : x
  2. Step 2: Convert to fraction form
    47,946/103,668 = 103,668/x
  3. Step 3: Cross multiply
    47,946x = 103,668 × 103,668
  4. Step 4: Simplify right side
    47,946x = 10,747,054,224
  5. Step 5: Solve for x
    x = 10,747,054,224/47,946
  6. Step 6: Final answer
    x = 224,149.13

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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.