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Finding the Third Proportional to 54,284 and 119,611

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Solution

The third proportional to 54,284 and 119,611 is: 263,554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,284 : 119,611 = 119,611 : x
  2. Step 2: Convert to fraction form
    54,284/119,611 = 119,611/x
  3. Step 3: Cross multiply
    54,284x = 119,611 × 119,611
  4. Step 4: Simplify right side
    54,284x = 14,306,791,321
  5. Step 5: Solve for x
    x = 14,306,791,321/54,284
  6. Step 6: Final answer
    x = 263,554.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.