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Finding the Third Proportional to 76,942.52 and 122,917.30

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Solution

The third proportional to 76,942.52 and 122,917.30 is: 196,363.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,942.52 : 122,917.30 = 122,917.30 : x
  2. Step 2: Convert to fraction form
    76,942.52/122,917.30 = 122,917.30/x
  3. Step 3: Cross multiply
    76,942.52x = 122,917.30 × 122,917.30
  4. Step 4: Simplify right side
    76,942.52x = 15,108,663,191.46
  5. Step 5: Solve for x
    x = 15,108,663,191.46/76,942.52
  6. Step 6: Final answer
    x = 196,363.00

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.