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Finding the Third Proportional to 56,786 and 119,456

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Solution

The third proportional to 56,786 and 119,456 is: 251,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,786 : 119,456 = 119,456 : x
  2. Step 2: Convert to fraction form
    56,786/119,456 = 119,456/x
  3. Step 3: Cross multiply
    56,786x = 119,456 × 119,456
  4. Step 4: Simplify right side
    56,786x = 14,269,735,936
  5. Step 5: Solve for x
    x = 14,269,735,936/56,786
  6. Step 6: Final answer
    x = 251,289.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.