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Finding the Third Proportional to 54,886 and 114,079

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Solution

The third proportional to 54,886 and 114,079 is: 237,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,886 : 114,079 = 114,079 : x
  2. Step 2: Convert to fraction form
    54,886/114,079 = 114,079/x
  3. Step 3: Cross multiply
    54,886x = 114,079 × 114,079
  4. Step 4: Simplify right side
    54,886x = 13,014,018,241
  5. Step 5: Solve for x
    x = 13,014,018,241/54,886
  6. Step 6: Final answer
    x = 237,109.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.