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Finding the Third Proportional to 54,829 and 113,546

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Solution

The third proportional to 54,829 and 113,546 is: 235,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,829 : 113,546 = 113,546 : x
  2. Step 2: Convert to fraction form
    54,829/113,546 = 113,546/x
  3. Step 3: Cross multiply
    54,829x = 113,546 × 113,546
  4. Step 4: Simplify right side
    54,829x = 12,892,694,116
  5. Step 5: Solve for x
    x = 12,892,694,116/54,829
  6. Step 6: Final answer
    x = 235,143.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.