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Finding the Third Proportional to 122,476.50 and 179,520

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Solution

The third proportional to 122,476.50 and 179,520 is: 263,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,476.50 : 179,520 = 179,520 : x
  2. Step 2: Convert to fraction form
    122,476.50/179,520 = 179,520/x
  3. Step 3: Cross multiply
    122,476.50x = 179,520 × 179,520
  4. Step 4: Simplify right side
    122,476.50x = 32,227,430,400
  5. Step 5: Solve for x
    x = 32,227,430,400/122,476.50
  6. Step 6: Final answer
    x = 263,131.54

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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.