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Finding the Third Proportional to 70,674.75 and 153,816.75

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Solution

The third proportional to 70,674.75 and 153,816.75 is: 334,767.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,674.75 : 153,816.75 = 153,816.75 : x
  2. Step 2: Convert to fraction form
    70,674.75/153,816.75 = 153,816.75/x
  3. Step 3: Cross multiply
    70,674.75x = 153,816.75 × 153,816.75
  4. Step 4: Simplify right side
    70,674.75x = 23,659,592,580.56
  5. Step 5: Solve for x
    x = 23,659,592,580.56/70,674.75
  6. Step 6: Final answer
    x = 334,767.26

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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.