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Finding the Third Proportional to 53,724 and 118,170

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Solution

The third proportional to 53,724 and 118,170 is: 259,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,724 : 118,170 = 118,170 : x
  2. Step 2: Convert to fraction form
    53,724/118,170 = 118,170/x
  3. Step 3: Cross multiply
    53,724x = 118,170 × 118,170
  4. Step 4: Simplify right side
    53,724x = 13,964,148,900
  5. Step 5: Solve for x
    x = 13,964,148,900/53,724
  6. Step 6: Final answer
    x = 259,923.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.