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Finding the Third Proportional to 49,236 and 76,383.06

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Solution

The third proportional to 49,236 and 76,383.06 is: 118,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,236 : 76,383.06 = 76,383.06 : x
  2. Step 2: Convert to fraction form
    49,236/76,383.06 = 76,383.06/x
  3. Step 3: Cross multiply
    49,236x = 76,383.06 × 76,383.06
  4. Step 4: Simplify right side
    49,236x = 5,834,372,236.88
  5. Step 5: Solve for x
    x = 5,834,372,236.88/49,236
  6. Step 6: Final answer
    x = 118,498.10

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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.