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Finding the Third Proportional to 25,541 and 54,154

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Solution

The third proportional to 25,541 and 54,154 is: 114,821.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,541 : 54,154 = 54,154 : x
  2. Step 2: Convert to fraction form
    25,541/54,154 = 54,154/x
  3. Step 3: Cross multiply
    25,541x = 54,154 × 54,154
  4. Step 4: Simplify right side
    25,541x = 2,932,655,716
  5. Step 5: Solve for x
    x = 2,932,655,716/25,541
  6. Step 6: Final answer
    x = 114,821.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.