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Finding the Third Proportional to 82,038.75 and 126,558.75

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Solution

The third proportional to 82,038.75 and 126,558.75 is: 195,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,038.75 : 126,558.75 = 126,558.75 : x
  2. Step 2: Convert to fraction form
    82,038.75/126,558.75 = 126,558.75/x
  3. Step 3: Cross multiply
    82,038.75x = 126,558.75 × 126,558.75
  4. Step 4: Simplify right side
    82,038.75x = 16,017,117,201.56
  5. Step 5: Solve for x
    x = 16,017,117,201.56/82,038.75
  6. Step 6: Final answer
    x = 195,238.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.