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Finding the Third Proportional to 54,069 and 118,663

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Solution

The third proportional to 54,069 and 118,663 is: 260,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,069 : 118,663 = 118,663 : x
  2. Step 2: Convert to fraction form
    54,069/118,663 = 118,663/x
  3. Step 3: Cross multiply
    54,069x = 118,663 × 118,663
  4. Step 4: Simplify right side
    54,069x = 14,080,907,569
  5. Step 5: Solve for x
    x = 14,080,907,569/54,069
  6. Step 6: Final answer
    x = 260,424.78

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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.