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Finding the Third Proportional to 53,648 and 117,664

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Solution

The third proportional to 53,648 and 117,664 is: 258,067.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,648 : 117,664 = 117,664 : x
  2. Step 2: Convert to fraction form
    53,648/117,664 = 117,664/x
  3. Step 3: Cross multiply
    53,648x = 117,664 × 117,664
  4. Step 4: Simplify right side
    53,648x = 13,844,816,896
  5. Step 5: Solve for x
    x = 13,844,816,896/53,648
  6. Step 6: Final answer
    x = 258,067.72

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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.