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Finding the Third Proportional to 53,568 and 117,645

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Solution

The third proportional to 53,568 and 117,645 is: 258,369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,568 : 117,645 = 117,645 : x
  2. Step 2: Convert to fraction form
    53,568/117,645 = 117,645/x
  3. Step 3: Cross multiply
    53,568x = 117,645 × 117,645
  4. Step 4: Simplify right side
    53,568x = 13,840,346,025
  5. Step 5: Solve for x
    x = 13,840,346,025/53,568
  6. Step 6: Final answer
    x = 258,369.66

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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.