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Finding the Third Proportional to 111,187.50 and 166,474.50

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Solution

The third proportional to 111,187.50 and 166,474.50 is: 249,252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,187.50 : 166,474.50 = 166,474.50 : x
  2. Step 2: Convert to fraction form
    111,187.50/166,474.50 = 166,474.50/x
  3. Step 3: Cross multiply
    111,187.50x = 166,474.50 × 166,474.50
  4. Step 4: Simplify right side
    111,187.50x = 27,713,759,150.25
  5. Step 5: Solve for x
    x = 27,713,759,150.25/111,187.50
  6. Step 6: Final answer
    x = 249,252.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.