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Finding the Third Proportional to 111,530.25 and 179,539.88

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Solution

The third proportional to 111,530.25 and 179,539.88 is: 289,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,530.25 : 179,539.88 = 179,539.88 : x
  2. Step 2: Convert to fraction form
    111,530.25/179,539.88 = 179,539.88/x
  3. Step 3: Cross multiply
    111,530.25x = 179,539.88 × 179,539.88
  4. Step 4: Simplify right side
    111,530.25x = 32,234,566,715.02
  5. Step 5: Solve for x
    x = 32,234,566,715.02/111,530.25
  6. Step 6: Final answer
    x = 289,020.84

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Why These Related Problems?

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