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Finding the Third Proportional to 53,067 and 114,423

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Solution

The third proportional to 53,067 and 114,423 is: 246,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,067 : 114,423 = 114,423 : x
  2. Step 2: Convert to fraction form
    53,067/114,423 = 114,423/x
  3. Step 3: Cross multiply
    53,067x = 114,423 × 114,423
  4. Step 4: Simplify right side
    53,067x = 13,092,622,929
  5. Step 5: Solve for x
    x = 13,092,622,929/53,067
  6. Step 6: Final answer
    x = 246,718.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.