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Finding the Third Proportional to 25,072 and 54,062

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Solution

The third proportional to 25,072 and 54,062 is: 116,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,072 : 54,062 = 54,062 : x
  2. Step 2: Convert to fraction form
    25,072/54,062 = 54,062/x
  3. Step 3: Cross multiply
    25,072x = 54,062 × 54,062
  4. Step 4: Simplify right side
    25,072x = 2,922,699,844
  5. Step 5: Solve for x
    x = 2,922,699,844/25,072
  6. Step 6: Final answer
    x = 116,572.27

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Why These Related Problems?

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