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Finding the Third Proportional to 54,637.75 and 118,889.25

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Solution

The third proportional to 54,637.75 and 118,889.25 is: 258,697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,637.75 : 118,889.25 = 118,889.25 : x
  2. Step 2: Convert to fraction form
    54,637.75/118,889.25 = 118,889.25/x
  3. Step 3: Cross multiply
    54,637.75x = 118,889.25 × 118,889.25
  4. Step 4: Simplify right side
    54,637.75x = 14,134,653,765.56
  5. Step 5: Solve for x
    x = 14,134,653,765.56/54,637.75
  6. Step 6: Final answer
    x = 258,697.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.