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Finding the Third Proportional to 129,125.25 and 281,121.75

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Solution

The third proportional to 129,125.25 and 281,121.75 is: 612,037.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,125.25 : 281,121.75 = 281,121.75 : x
  2. Step 2: Convert to fraction form
    129,125.25/281,121.75 = 281,121.75/x
  3. Step 3: Cross multiply
    129,125.25x = 281,121.75 × 281,121.75
  4. Step 4: Simplify right side
    129,125.25x = 79,029,438,323.06
  5. Step 5: Solve for x
    x = 79,029,438,323.06/129,125.25
  6. Step 6: Final answer
    x = 612,037.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.