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Finding the Third Proportional to 110,144 and 175,057

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Solution

The third proportional to 110,144 and 175,057 is: 278,226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,144 : 175,057 = 175,057 : x
  2. Step 2: Convert to fraction form
    110,144/175,057 = 175,057/x
  3. Step 3: Cross multiply
    110,144x = 175,057 × 175,057
  4. Step 4: Simplify right side
    110,144x = 30,644,953,249
  5. Step 5: Solve for x
    x = 30,644,953,249/110,144
  6. Step 6: Final answer
    x = 278,226.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.