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Finding the Third Proportional to 25,946 and 54,104

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Solution

The third proportional to 25,946 and 54,104 is: 112,820.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,946 : 54,104 = 54,104 : x
  2. Step 2: Convert to fraction form
    25,946/54,104 = 54,104/x
  3. Step 3: Cross multiply
    25,946x = 54,104 × 54,104
  4. Step 4: Simplify right side
    25,946x = 2,927,242,816
  5. Step 5: Solve for x
    x = 2,927,242,816/25,946
  6. Step 6: Final answer
    x = 112,820.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.