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Finding the Third Proportional to 46,176 and 100,668

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Solution

The third proportional to 46,176 and 100,668 is: 219,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,176 : 100,668 = 100,668 : x
  2. Step 2: Convert to fraction form
    46,176/100,668 = 100,668/x
  3. Step 3: Cross multiply
    46,176x = 100,668 × 100,668
  4. Step 4: Simplify right side
    46,176x = 10,134,046,224
  5. Step 5: Solve for x
    x = 10,134,046,224/46,176
  6. Step 6: Final answer
    x = 219,465.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.