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Finding the Third Proportional to 25,196 and 54,997

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Solution

The third proportional to 25,196 and 54,997 is: 120,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,196 : 54,997 = 54,997 : x
  2. Step 2: Convert to fraction form
    25,196/54,997 = 54,997/x
  3. Step 3: Cross multiply
    25,196x = 54,997 × 54,997
  4. Step 4: Simplify right side
    25,196x = 3,024,670,009
  5. Step 5: Solve for x
    x = 3,024,670,009/25,196
  6. Step 6: Final answer
    x = 120,045.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.