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Finding the Third Proportional to 49,124 and 76,200

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Solution

The third proportional to 49,124 and 76,200 is: 118,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,124 : 76,200 = 76,200 : x
  2. Step 2: Convert to fraction form
    49,124/76,200 = 76,200/x
  3. Step 3: Cross multiply
    49,124x = 76,200 × 76,200
  4. Step 4: Simplify right side
    49,124x = 5,806,440,000
  5. Step 5: Solve for x
    x = 5,806,440,000/49,124
  6. Step 6: Final answer
    x = 118,199.66

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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.