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Finding the Third Proportional to 67,002 and 147,152

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Solution

The third proportional to 67,002 and 147,152 is: 323,180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,002 : 147,152 = 147,152 : x
  2. Step 2: Convert to fraction form
    67,002/147,152 = 147,152/x
  3. Step 3: Cross multiply
    67,002x = 147,152 × 147,152
  4. Step 4: Simplify right side
    67,002x = 21,653,711,104
  5. Step 5: Solve for x
    x = 21,653,711,104/67,002
  6. Step 6: Final answer
    x = 323,180.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.