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Finding the Third Proportional to 25,153 and 54,406

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Solution

The third proportional to 25,153 and 54,406 is: 117,680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,153 : 54,406 = 54,406 : x
  2. Step 2: Convert to fraction form
    25,153/54,406 = 54,406/x
  3. Step 3: Cross multiply
    25,153x = 54,406 × 54,406
  4. Step 4: Simplify right side
    25,153x = 2,960,012,836
  5. Step 5: Solve for x
    x = 2,960,012,836/25,153
  6. Step 6: Final answer
    x = 117,680.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.