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Finding the Third Proportional to 117,170 and 174,988

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Solution

The third proportional to 117,170 and 174,988 is: 261,336.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,170 : 174,988 = 174,988 : x
  2. Step 2: Convert to fraction form
    117,170/174,988 = 174,988/x
  3. Step 3: Cross multiply
    117,170x = 174,988 × 174,988
  4. Step 4: Simplify right side
    117,170x = 30,620,800,144
  5. Step 5: Solve for x
    x = 30,620,800,144/117,170
  6. Step 6: Final answer
    x = 261,336.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.