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Finding the Third Proportional to 47,668 and 104,552

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Solution

The third proportional to 47,668 and 104,552 is: 229,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,668 : 104,552 = 104,552 : x
  2. Step 2: Convert to fraction form
    47,668/104,552 = 104,552/x
  3. Step 3: Cross multiply
    47,668x = 104,552 × 104,552
  4. Step 4: Simplify right side
    47,668x = 10,931,120,704
  5. Step 5: Solve for x
    x = 10,931,120,704/47,668
  6. Step 6: Final answer
    x = 229,317.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.