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Finding the Third Proportional to 46,872.42 and 72,205.17

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Solution

The third proportional to 46,872.42 and 72,205.17 is: 111,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,872.42 : 72,205.17 = 72,205.17 : x
  2. Step 2: Convert to fraction form
    46,872.42/72,205.17 = 72,205.17/x
  3. Step 3: Cross multiply
    46,872.42x = 72,205.17 × 72,205.17
  4. Step 4: Simplify right side
    46,872.42x = 5,213,586,845.50
  5. Step 5: Solve for x
    x = 5,213,586,845.50/46,872.42
  6. Step 6: Final answer
    x = 111,229.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.