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Finding the Third Proportional to 72,864 and 103,296

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Solution

The third proportional to 72,864 and 103,296 is: 146,438.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,864 : 103,296 = 103,296 : x
  2. Step 2: Convert to fraction form
    72,864/103,296 = 103,296/x
  3. Step 3: Cross multiply
    72,864x = 103,296 × 103,296
  4. Step 4: Simplify right side
    72,864x = 10,670,063,616
  5. Step 5: Solve for x
    x = 10,670,063,616/72,864
  6. Step 6: Final answer
    x = 146,438.07

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.