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Finding the Third Proportional to 94,968 and 147,632

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Solution

The third proportional to 94,968 and 147,632 is: 229,500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,968 : 147,632 = 147,632 : x
  2. Step 2: Convert to fraction form
    94,968/147,632 = 147,632/x
  3. Step 3: Cross multiply
    94,968x = 147,632 × 147,632
  4. Step 4: Simplify right side
    94,968x = 21,795,207,424
  5. Step 5: Solve for x
    x = 21,795,207,424/94,968
  6. Step 6: Final answer
    x = 229,500.54

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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.