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Finding the Third Proportional to 49,235.50 and 118,703.50

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Solution

The third proportional to 49,235.50 and 118,703.50 is: 286,186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,235.50 : 118,703.50 = 118,703.50 : x
  2. Step 2: Convert to fraction form
    49,235.50/118,703.50 = 118,703.50/x
  3. Step 3: Cross multiply
    49,235.50x = 118,703.50 × 118,703.50
  4. Step 4: Simplify right side
    49,235.50x = 14,090,520,912.25
  5. Step 5: Solve for x
    x = 14,090,520,912.25/49,235.50
  6. Step 6: Final answer
    x = 286,186.21

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.