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Finding the Third Proportional to 49,702 and 108,152

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Solution

The third proportional to 49,702 and 108,152 is: 235,339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,702 : 108,152 = 108,152 : x
  2. Step 2: Convert to fraction form
    49,702/108,152 = 108,152/x
  3. Step 3: Cross multiply
    49,702x = 108,152 × 108,152
  4. Step 4: Simplify right side
    49,702x = 11,696,855,104
  5. Step 5: Solve for x
    x = 11,696,855,104/49,702
  6. Step 6: Final answer
    x = 235,339.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.