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Finding the Third Proportional to 70,122 and 150,935

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Solution

The third proportional to 70,122 and 150,935 is: 324,881.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,122 : 150,935 = 150,935 : x
  2. Step 2: Convert to fraction form
    70,122/150,935 = 150,935/x
  3. Step 3: Cross multiply
    70,122x = 150,935 × 150,935
  4. Step 4: Simplify right side
    70,122x = 22,781,374,225
  5. Step 5: Solve for x
    x = 22,781,374,225/70,122
  6. Step 6: Final answer
    x = 324,881.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.