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Finding the Third Proportional to 32,176 and 70,901

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Solution

The third proportional to 32,176 and 70,901 is: 156,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176 : 70,901 = 70,901 : x
  2. Step 2: Convert to fraction form
    32,176/70,901 = 70,901/x
  3. Step 3: Cross multiply
    32,176x = 70,901 × 70,901
  4. Step 4: Simplify right side
    32,176x = 5,026,951,801
  5. Step 5: Solve for x
    x = 5,026,951,801/32,176
  6. Step 6: Final answer
    x = 156,232.96

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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.