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Finding the Third Proportional to 111,379 and 160,923.50

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Solution

The third proportional to 111,379 and 160,923.50 is: 232,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,379 : 160,923.50 = 160,923.50 : x
  2. Step 2: Convert to fraction form
    111,379/160,923.50 = 160,923.50/x
  3. Step 3: Cross multiply
    111,379x = 160,923.50 × 160,923.50
  4. Step 4: Simplify right side
    111,379x = 25,896,372,852.25
  5. Step 5: Solve for x
    x = 25,896,372,852.25/111,379
  6. Step 6: Final answer
    x = 232,506.78

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.