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Finding the Third Proportional to 56,138 and 124,738

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Solution

The third proportional to 56,138 and 124,738 is: 277,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,138 : 124,738 = 124,738 : x
  2. Step 2: Convert to fraction form
    56,138/124,738 = 124,738/x
  3. Step 3: Cross multiply
    56,138x = 124,738 × 124,738
  4. Step 4: Simplify right side
    56,138x = 15,559,568,644
  5. Step 5: Solve for x
    x = 15,559,568,644/56,138
  6. Step 6: Final answer
    x = 277,166.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.