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Finding the Third Proportional to 49,353 and 76,336.50

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Solution

The third proportional to 49,353 and 76,336.50 is: 118,073.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,353 : 76,336.50 = 76,336.50 : x
  2. Step 2: Convert to fraction form
    49,353/76,336.50 = 76,336.50/x
  3. Step 3: Cross multiply
    49,353x = 76,336.50 × 76,336.50
  4. Step 4: Simplify right side
    49,353x = 5,827,261,232.25
  5. Step 5: Solve for x
    x = 5,827,261,232.25/49,353
  6. Step 6: Final answer
    x = 118,073.09

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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.