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Finding the Third Proportional to 53,568 and 117,711

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Solution

The third proportional to 53,568 and 117,711 is: 258,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,568 : 117,711 = 117,711 : x
  2. Step 2: Convert to fraction form
    53,568/117,711 = 117,711/x
  3. Step 3: Cross multiply
    53,568x = 117,711 × 117,711
  4. Step 4: Simplify right side
    53,568x = 13,855,879,521
  5. Step 5: Solve for x
    x = 13,855,879,521/53,568
  6. Step 6: Final answer
    x = 258,659.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.