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Finding the Third Proportional to 70,665.75 and 162,803.25

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Solution

The third proportional to 70,665.75 and 162,803.25 is: 375,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,665.75 : 162,803.25 = 162,803.25 : x
  2. Step 2: Convert to fraction form
    70,665.75/162,803.25 = 162,803.25/x
  3. Step 3: Cross multiply
    70,665.75x = 162,803.25 × 162,803.25
  4. Step 4: Simplify right side
    70,665.75x = 26,504,898,210.56
  5. Step 5: Solve for x
    x = 26,504,898,210.56/70,665.75
  6. Step 6: Final answer
    x = 375,074.18

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.