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Finding the Third Proportional to 82,844.30 and 126,675.84

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Solution

The third proportional to 82,844.30 and 126,675.84 is: 193,697.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,844.30 : 126,675.84 = 126,675.84 : x
  2. Step 2: Convert to fraction form
    82,844.30/126,675.84 = 126,675.84/x
  3. Step 3: Cross multiply
    82,844.30x = 126,675.84 × 126,675.84
  4. Step 4: Simplify right side
    82,844.30x = 16,046,769,389.77
  5. Step 5: Solve for x
    x = 16,046,769,389.77/82,844.30
  6. Step 6: Final answer
    x = 193,697.94

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Why These Related Problems?

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