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Finding the Third Proportional to 54,511 and 116,903

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Solution

The third proportional to 54,511 and 116,903 is: 250,707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,511 : 116,903 = 116,903 : x
  2. Step 2: Convert to fraction form
    54,511/116,903 = 116,903/x
  3. Step 3: Cross multiply
    54,511x = 116,903 × 116,903
  4. Step 4: Simplify right side
    54,511x = 13,666,311,409
  5. Step 5: Solve for x
    x = 13,666,311,409/54,511
  6. Step 6: Final answer
    x = 250,707.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.