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Finding the Third Proportional to 61,344 and 125,268

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Solution

The third proportional to 61,344 and 125,268 is: 255,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,344 : 125,268 = 125,268 : x
  2. Step 2: Convert to fraction form
    61,344/125,268 = 125,268/x
  3. Step 3: Cross multiply
    61,344x = 125,268 × 125,268
  4. Step 4: Simplify right side
    61,344x = 15,692,071,824
  5. Step 5: Solve for x
    x = 15,692,071,824/61,344
  6. Step 6: Final answer
    x = 255,804.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.