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Finding the Third Proportional to 70,085.25 and 100,743.75

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Solution

The third proportional to 70,085.25 and 100,743.75 is: 144,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,085.25 : 100,743.75 = 100,743.75 : x
  2. Step 2: Convert to fraction form
    70,085.25/100,743.75 = 100,743.75/x
  3. Step 3: Cross multiply
    70,085.25x = 100,743.75 × 100,743.75
  4. Step 4: Simplify right side
    70,085.25x = 10,149,303,164.06
  5. Step 5: Solve for x
    x = 10,149,303,164.06/70,085.25
  6. Step 6: Final answer
    x = 144,813.68

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.