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Finding the Third Proportional to 25,194 and 55,356

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Solution

The third proportional to 25,194 and 55,356 is: 121,627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,194 : 55,356 = 55,356 : x
  2. Step 2: Convert to fraction form
    25,194/55,356 = 55,356/x
  3. Step 3: Cross multiply
    25,194x = 55,356 × 55,356
  4. Step 4: Simplify right side
    25,194x = 3,064,286,736
  5. Step 5: Solve for x
    x = 3,064,286,736/25,194
  6. Step 6: Final answer
    x = 121,627.64

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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.