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Finding the Third Proportional to 122,118 and 174,975

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Solution

The third proportional to 122,118 and 174,975 is: 250,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,118 : 174,975 = 174,975 : x
  2. Step 2: Convert to fraction form
    122,118/174,975 = 174,975/x
  3. Step 3: Cross multiply
    122,118x = 174,975 × 174,975
  4. Step 4: Simplify right side
    122,118x = 30,616,250,625
  5. Step 5: Solve for x
    x = 30,616,250,625/122,118
  6. Step 6: Final answer
    x = 250,710.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.