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Finding the Third Proportional to 76,990.50 and 122,229

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Solution

The third proportional to 76,990.50 and 122,229 is: 194,048.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,990.50 : 122,229 = 122,229 : x
  2. Step 2: Convert to fraction form
    76,990.50/122,229 = 122,229/x
  3. Step 3: Cross multiply
    76,990.50x = 122,229 × 122,229
  4. Step 4: Simplify right side
    76,990.50x = 14,939,928,441
  5. Step 5: Solve for x
    x = 14,939,928,441/76,990.50
  6. Step 6: Final answer
    x = 194,048.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.