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Finding the Third Proportional to 49,500 and 76,716

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Solution

The third proportional to 49,500 and 76,716 is: 118,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,500 : 76,716 = 76,716 : x
  2. Step 2: Convert to fraction form
    49,500/76,716 = 76,716/x
  3. Step 3: Cross multiply
    49,500x = 76,716 × 76,716
  4. Step 4: Simplify right side
    49,500x = 5,885,344,656
  5. Step 5: Solve for x
    x = 5,885,344,656/49,500
  6. Step 6: Final answer
    x = 118,895.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.