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Finding the Third Proportional to 25,188 and 54,752

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Solution

The third proportional to 25,188 and 54,752 is: 119,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,188 : 54,752 = 54,752 : x
  2. Step 2: Convert to fraction form
    25,188/54,752 = 54,752/x
  3. Step 3: Cross multiply
    25,188x = 54,752 × 54,752
  4. Step 4: Simplify right side
    25,188x = 2,997,781,504
  5. Step 5: Solve for x
    x = 2,997,781,504/25,188
  6. Step 6: Final answer
    x = 119,016.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.