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Finding the Third Proportional to 54,906 and 118,134

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Solution

The third proportional to 54,906 and 118,134 is: 254,173.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,906 : 118,134 = 118,134 : x
  2. Step 2: Convert to fraction form
    54,906/118,134 = 118,134/x
  3. Step 3: Cross multiply
    54,906x = 118,134 × 118,134
  4. Step 4: Simplify right side
    54,906x = 13,955,641,956
  5. Step 5: Solve for x
    x = 13,955,641,956/54,906
  6. Step 6: Final answer
    x = 254,173.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.