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Finding the Third Proportional to 53,002 and 117,668

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Solution

The third proportional to 53,002 and 117,668 is: 261,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,002 : 117,668 = 117,668 : x
  2. Step 2: Convert to fraction form
    53,002/117,668 = 117,668/x
  3. Step 3: Cross multiply
    53,002x = 117,668 × 117,668
  4. Step 4: Simplify right side
    53,002x = 13,845,758,224
  5. Step 5: Solve for x
    x = 13,845,758,224/53,002
  6. Step 6: Final answer
    x = 261,230.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.