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Finding the Third Proportional to 53,919 and 118,125

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Solution

The third proportional to 53,919 and 118,125 is: 258,786.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,919 : 118,125 = 118,125 : x
  2. Step 2: Convert to fraction form
    53,919/118,125 = 118,125/x
  3. Step 3: Cross multiply
    53,919x = 118,125 × 118,125
  4. Step 4: Simplify right side
    53,919x = 13,953,515,625
  5. Step 5: Solve for x
    x = 13,953,515,625/53,919
  6. Step 6: Final answer
    x = 258,786.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.