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Finding the Third Proportional to 54,858 and 118,248

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Solution

The third proportional to 54,858 and 118,248 is: 254,886.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,858 : 118,248 = 118,248 : x
  2. Step 2: Convert to fraction form
    54,858/118,248 = 118,248/x
  3. Step 3: Cross multiply
    54,858x = 118,248 × 118,248
  4. Step 4: Simplify right side
    54,858x = 13,982,589,504
  5. Step 5: Solve for x
    x = 13,982,589,504/54,858
  6. Step 6: Final answer
    x = 254,886.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.