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Finding the Third Proportional to 111,807 and 167,224.50

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Solution

The third proportional to 111,807 and 167,224.50 is: 250,109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,807 : 167,224.50 = 167,224.50 : x
  2. Step 2: Convert to fraction form
    111,807/167,224.50 = 167,224.50/x
  3. Step 3: Cross multiply
    111,807x = 167,224.50 × 167,224.50
  4. Step 4: Simplify right side
    111,807x = 27,964,033,400.25
  5. Step 5: Solve for x
    x = 27,964,033,400.25/111,807
  6. Step 6: Final answer
    x = 250,109.86

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Why These Related Problems?

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