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Finding the Third Proportional to 110,079 and 174,939.75

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Solution

The third proportional to 110,079 and 174,939.75 is: 278,017.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,079 : 174,939.75 = 174,939.75 : x
  2. Step 2: Convert to fraction form
    110,079/174,939.75 = 174,939.75/x
  3. Step 3: Cross multiply
    110,079x = 174,939.75 × 174,939.75
  4. Step 4: Simplify right side
    110,079x = 30,603,916,130.06
  5. Step 5: Solve for x
    x = 30,603,916,130.06/110,079
  6. Step 6: Final answer
    x = 278,017.75

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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.