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Finding the Third Proportional to 70,986 and 152,907

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Solution

The third proportional to 70,986 and 152,907 is: 329,368.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,986 : 152,907 = 152,907 : x
  2. Step 2: Convert to fraction form
    70,986/152,907 = 152,907/x
  3. Step 3: Cross multiply
    70,986x = 152,907 × 152,907
  4. Step 4: Simplify right side
    70,986x = 23,380,550,649
  5. Step 5: Solve for x
    x = 23,380,550,649/70,986
  6. Step 6: Final answer
    x = 329,368.48

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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.