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Finding the Third Proportional to 32,179 and 70,907

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Solution

The third proportional to 32,179 and 70,907 is: 156,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,179 : 70,907 = 70,907 : x
  2. Step 2: Convert to fraction form
    32,179/70,907 = 70,907/x
  3. Step 3: Cross multiply
    32,179x = 70,907 × 70,907
  4. Step 4: Simplify right side
    32,179x = 5,027,802,649
  5. Step 5: Solve for x
    x = 5,027,802,649/32,179
  6. Step 6: Final answer
    x = 156,244.84

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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.