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Finding the Third Proportional to 115,780 and 174,899

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Solution

The third proportional to 115,780 and 174,899 is: 264,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,780 : 174,899 = 174,899 : x
  2. Step 2: Convert to fraction form
    115,780/174,899 = 174,899/x
  3. Step 3: Cross multiply
    115,780x = 174,899 × 174,899
  4. Step 4: Simplify right side
    115,780x = 30,589,660,201
  5. Step 5: Solve for x
    x = 30,589,660,201/115,780
  6. Step 6: Final answer
    x = 264,205.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.