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Finding the Third Proportional to 53,268.26 and 118,360.46

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Solution

The third proportional to 53,268.26 and 118,360.46 is: 262,993.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,268.26 : 118,360.46 = 118,360.46 : x
  2. Step 2: Convert to fraction form
    53,268.26/118,360.46 = 118,360.46/x
  3. Step 3: Cross multiply
    53,268.26x = 118,360.46 × 118,360.46
  4. Step 4: Simplify right side
    53,268.26x = 14,009,198,250.99
  5. Step 5: Solve for x
    x = 14,009,198,250.99/53,268.26
  6. Step 6: Final answer
    x = 262,993.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.