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Finding the Third Proportional to 70,244 and 152,152

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Solution

The third proportional to 70,244 and 152,152 is: 329,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,244 : 152,152 = 152,152 : x
  2. Step 2: Convert to fraction form
    70,244/152,152 = 152,152/x
  3. Step 3: Cross multiply
    70,244x = 152,152 × 152,152
  4. Step 4: Simplify right side
    70,244x = 23,150,231,104
  5. Step 5: Solve for x
    x = 23,150,231,104/70,244
  6. Step 6: Final answer
    x = 329,568.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.