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Finding the Third Proportional to 53,467.50 and 84,096

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Solution

The third proportional to 53,467.50 and 84,096 is: 132,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,467.50 : 84,096 = 84,096 : x
  2. Step 2: Convert to fraction form
    53,467.50/84,096 = 84,096/x
  3. Step 3: Cross multiply
    53,467.50x = 84,096 × 84,096
  4. Step 4: Simplify right side
    53,467.50x = 7,072,137,216
  5. Step 5: Solve for x
    x = 7,072,137,216/53,467.50
  6. Step 6: Final answer
    x = 132,269.83

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.