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Finding the Third Proportional to 53,874 and 118,980

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Solution

The third proportional to 53,874 and 118,980 is: 262,765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,874 : 118,980 = 118,980 : x
  2. Step 2: Convert to fraction form
    53,874/118,980 = 118,980/x
  3. Step 3: Cross multiply
    53,874x = 118,980 × 118,980
  4. Step 4: Simplify right side
    53,874x = 14,156,240,400
  5. Step 5: Solve for x
    x = 14,156,240,400/53,874
  6. Step 6: Final answer
    x = 262,765.72

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.