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Finding the Third Proportional to 32,121.56 and 69,756.19

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Solution

The third proportional to 32,121.56 and 69,756.19 is: 151,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,121.56 : 69,756.19 = 69,756.19 : x
  2. Step 2: Convert to fraction form
    32,121.56/69,756.19 = 69,756.19/x
  3. Step 3: Cross multiply
    32,121.56x = 69,756.19 × 69,756.19
  4. Step 4: Simplify right side
    32,121.56x = 4,865,925,694.54
  5. Step 5: Solve for x
    x = 4,865,925,694.54/32,121.56
  6. Step 6: Final answer
    x = 151,484.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.