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Finding the Third Proportional to 72,084 and 154,823.25

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Solution

The third proportional to 72,084 and 154,823.25 is: 332,532.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,084 : 154,823.25 = 154,823.25 : x
  2. Step 2: Convert to fraction form
    72,084/154,823.25 = 154,823.25/x
  3. Step 3: Cross multiply
    72,084x = 154,823.25 × 154,823.25
  4. Step 4: Simplify right side
    72,084x = 23,970,238,740.56
  5. Step 5: Solve for x
    x = 23,970,238,740.56/72,084
  6. Step 6: Final answer
    x = 332,532.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.