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Finding the Third Proportional to 81,950.63 and 126,565.50

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Solution

The third proportional to 81,950.63 and 126,565.50 is: 195,469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,950.63 : 126,565.50 = 126,565.50 : x
  2. Step 2: Convert to fraction form
    81,950.63/126,565.50 = 126,565.50/x
  3. Step 3: Cross multiply
    81,950.63x = 126,565.50 × 126,565.50
  4. Step 4: Simplify right side
    81,950.63x = 16,018,825,790.25
  5. Step 5: Solve for x
    x = 16,018,825,790.25/81,950.63
  6. Step 6: Final answer
    x = 195,469.23

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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.