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Finding the Third Proportional to 111,121.50 and 235,479

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Solution

The third proportional to 111,121.50 and 235,479 is: 499,006.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,121.50 : 235,479 = 235,479 : x
  2. Step 2: Convert to fraction form
    111,121.50/235,479 = 235,479/x
  3. Step 3: Cross multiply
    111,121.50x = 235,479 × 235,479
  4. Step 4: Simplify right side
    111,121.50x = 55,450,359,441
  5. Step 5: Solve for x
    x = 55,450,359,441/111,121.50
  6. Step 6: Final answer
    x = 499,006.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.