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Finding the Third Proportional to 53,268 and 108,048

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Solution

The third proportional to 53,268 and 108,048 is: 219,162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,268 : 108,048 = 108,048 : x
  2. Step 2: Convert to fraction form
    53,268/108,048 = 108,048/x
  3. Step 3: Cross multiply
    53,268x = 108,048 × 108,048
  4. Step 4: Simplify right side
    53,268x = 11,674,370,304
  5. Step 5: Solve for x
    x = 11,674,370,304/53,268
  6. Step 6: Final answer
    x = 219,162.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.