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Finding the Third Proportional to 49,056 and 105,951.50

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Solution

The third proportional to 49,056 and 105,951.50 is: 228,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,056 : 105,951.50 = 105,951.50 : x
  2. Step 2: Convert to fraction form
    49,056/105,951.50 = 105,951.50/x
  3. Step 3: Cross multiply
    49,056x = 105,951.50 × 105,951.50
  4. Step 4: Simplify right side
    49,056x = 11,225,720,352.25
  5. Step 5: Solve for x
    x = 11,225,720,352.25/49,056
  6. Step 6: Final answer
    x = 228,834.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.