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Finding the Third Proportional to 110,270 and 174,837

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Solution

The third proportional to 110,270 and 174,837 is: 277,210.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,270 : 174,837 = 174,837 : x
  2. Step 2: Convert to fraction form
    110,270/174,837 = 174,837/x
  3. Step 3: Cross multiply
    110,270x = 174,837 × 174,837
  4. Step 4: Simplify right side
    110,270x = 30,567,976,569
  5. Step 5: Solve for x
    x = 30,567,976,569/110,270
  6. Step 6: Final answer
    x = 277,210.27

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