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Finding the Third Proportional to 111,521.81 and 179,566.88

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Solution

The third proportional to 111,521.81 and 179,566.88 is: 289,129.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,521.81 : 179,566.88 = 179,566.88 : x
  2. Step 2: Convert to fraction form
    111,521.81/179,566.88 = 179,566.88/x
  3. Step 3: Cross multiply
    111,521.81x = 179,566.88 × 179,566.88
  4. Step 4: Simplify right side
    111,521.81x = 32,244,262,597.27
  5. Step 5: Solve for x
    x = 32,244,262,597.27/111,521.81
  6. Step 6: Final answer
    x = 289,129.65

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.