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Finding the Third Proportional to 41,496 and 88,668

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Solution

The third proportional to 41,496 and 88,668 is: 189,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,496 : 88,668 = 88,668 : x
  2. Step 2: Convert to fraction form
    41,496/88,668 = 88,668/x
  3. Step 3: Cross multiply
    41,496x = 88,668 × 88,668
  4. Step 4: Simplify right side
    41,496x = 7,862,014,224
  5. Step 5: Solve for x
    x = 7,862,014,224/41,496
  6. Step 6: Final answer
    x = 189,464.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.