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Finding the Third Proportional to 54,314 and 112,012

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Solution

The third proportional to 54,314 and 112,012 is: 231,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,314 : 112,012 = 112,012 : x
  2. Step 2: Convert to fraction form
    54,314/112,012 = 112,012/x
  3. Step 3: Cross multiply
    54,314x = 112,012 × 112,012
  4. Step 4: Simplify right side
    54,314x = 12,546,688,144
  5. Step 5: Solve for x
    x = 12,546,688,144/54,314
  6. Step 6: Final answer
    x = 231,002.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.