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Finding the Third Proportional to 94,622 and 142,328

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Solution

The third proportional to 94,622 and 142,328 is: 214,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,622 : 142,328 = 142,328 : x
  2. Step 2: Convert to fraction form
    94,622/142,328 = 142,328/x
  3. Step 3: Cross multiply
    94,622x = 142,328 × 142,328
  4. Step 4: Simplify right side
    94,622x = 20,257,259,584
  5. Step 5: Solve for x
    x = 20,257,259,584/94,622
  6. Step 6: Final answer
    x = 214,086.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.