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Finding the Third Proportional to 49,344.19 and 72,922.78

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Solution

The third proportional to 49,344.19 and 72,922.78 is: 107,768.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344.19 : 72,922.78 = 72,922.78 : x
  2. Step 2: Convert to fraction form
    49,344.19/72,922.78 = 72,922.78/x
  3. Step 3: Cross multiply
    49,344.19x = 72,922.78 × 72,922.78
  4. Step 4: Simplify right side
    49,344.19x = 5,317,732,025.24
  5. Step 5: Solve for x
    x = 5,317,732,025.24/49,344.19
  6. Step 6: Final answer
    x = 107,768.15

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.