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Finding the Third Proportional to 82,844.63 and 126,676.50

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Solution

The third proportional to 82,844.63 and 126,676.50 is: 193,699.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,844.63 : 126,676.50 = 126,676.50 : x
  2. Step 2: Convert to fraction form
    82,844.63/126,676.50 = 126,676.50/x
  3. Step 3: Cross multiply
    82,844.63x = 126,676.50 × 126,676.50
  4. Step 4: Simplify right side
    82,844.63x = 16,046,935,652.25
  5. Step 5: Solve for x
    x = 16,046,935,652.25/82,844.63
  6. Step 6: Final answer
    x = 193,699.18

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.