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Finding the Third Proportional to 111,576 and 169,990

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Solution

The third proportional to 111,576 and 169,990 is: 258,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,576 : 169,990 = 169,990 : x
  2. Step 2: Convert to fraction form
    111,576/169,990 = 169,990/x
  3. Step 3: Cross multiply
    111,576x = 169,990 × 169,990
  4. Step 4: Simplify right side
    111,576x = 28,896,600,100
  5. Step 5: Solve for x
    x = 28,896,600,100/111,576
  6. Step 6: Final answer
    x = 258,985.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.