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Finding the Third Proportional to 122,472 and 179,812.41

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Solution

The third proportional to 122,472 and 179,812.41 is: 263,999.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,472 : 179,812.41 = 179,812.41 : x
  2. Step 2: Convert to fraction form
    122,472/179,812.41 = 179,812.41/x
  3. Step 3: Cross multiply
    122,472x = 179,812.41 × 179,812.41
  4. Step 4: Simplify right side
    122,472x = 32,332,501,441.42
  5. Step 5: Solve for x
    x = 32,332,501,441.42/122,472
  6. Step 6: Final answer
    x = 263,999.13

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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.