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Finding the Third Proportional to 25,172 and 54,952

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Solution

The third proportional to 25,172 and 54,952 is: 119,963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,172 : 54,952 = 54,952 : x
  2. Step 2: Convert to fraction form
    25,172/54,952 = 54,952/x
  3. Step 3: Cross multiply
    25,172x = 54,952 × 54,952
  4. Step 4: Simplify right side
    25,172x = 3,019,722,304
  5. Step 5: Solve for x
    x = 3,019,722,304/25,172
  6. Step 6: Final answer
    x = 119,963.54

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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.