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Finding the Third Proportional to 76,789.27 and 112,672.27

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Solution

The third proportional to 76,789.27 and 112,672.27 is: 165,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,789.27 : 112,672.27 = 112,672.27 : x
  2. Step 2: Convert to fraction form
    76,789.27/112,672.27 = 112,672.27/x
  3. Step 3: Cross multiply
    76,789.27x = 112,672.27 × 112,672.27
  4. Step 4: Simplify right side
    76,789.27x = 12,695,039,441.07
  5. Step 5: Solve for x
    x = 12,695,039,441.07/76,789.27
  6. Step 6: Final answer
    x = 165,323.10

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.