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Finding the Third Proportional to 109,608.75 and 174,544.88

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Solution

The third proportional to 109,608.75 and 174,544.88 is: 277,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,608.75 : 174,544.88 = 174,544.88 : x
  2. Step 2: Convert to fraction form
    109,608.75/174,544.88 = 174,544.88/x
  3. Step 3: Cross multiply
    109,608.75x = 174,544.88 × 174,544.88
  4. Step 4: Simplify right side
    109,608.75x = 30,465,913,388.77
  5. Step 5: Solve for x
    x = 30,465,913,388.77/109,608.75
  6. Step 6: Final answer
    x = 277,951.47

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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.