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Finding the Third Proportional to 70,809 and 149,819.25

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Solution

The third proportional to 70,809 and 149,819.25 is: 316,990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,809 : 149,819.25 = 149,819.25 : x
  2. Step 2: Convert to fraction form
    70,809/149,819.25 = 149,819.25/x
  3. Step 3: Cross multiply
    70,809x = 149,819.25 × 149,819.25
  4. Step 4: Simplify right side
    70,809x = 22,445,807,670.56
  5. Step 5: Solve for x
    x = 22,445,807,670.56/70,809
  6. Step 6: Final answer
    x = 316,990.89

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.