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Finding the Third Proportional to 94,608 and 147,096

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Solution

The third proportional to 94,608 and 147,096 is: 228,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,608 : 147,096 = 147,096 : x
  2. Step 2: Convert to fraction form
    94,608/147,096 = 147,096/x
  3. Step 3: Cross multiply
    94,608x = 147,096 × 147,096
  4. Step 4: Simplify right side
    94,608x = 21,637,233,216
  5. Step 5: Solve for x
    x = 21,637,233,216/94,608
  6. Step 6: Final answer
    x = 228,704.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.