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Finding the Third Proportional to 84,323.74 and 128,212.24

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Solution

The third proportional to 84,323.74 and 128,212.24 is: 194,943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,323.74 : 128,212.24 = 128,212.24 : x
  2. Step 2: Convert to fraction form
    84,323.74/128,212.24 = 128,212.24/x
  3. Step 3: Cross multiply
    84,323.74x = 128,212.24 × 128,212.24
  4. Step 4: Simplify right side
    84,323.74x = 16,438,379,046.75
  5. Step 5: Solve for x
    x = 16,438,379,046.75/84,323.74
  6. Step 6: Final answer
    x = 194,943.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.