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Finding the Third Proportional to 118,817 and 167,173.50

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Solution

The third proportional to 118,817 and 167,173.50 is: 235,210.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,817 : 167,173.50 = 167,173.50 : x
  2. Step 2: Convert to fraction form
    118,817/167,173.50 = 167,173.50/x
  3. Step 3: Cross multiply
    118,817x = 167,173.50 × 167,173.50
  4. Step 4: Simplify right side
    118,817x = 27,946,979,102.25
  5. Step 5: Solve for x
    x = 27,946,979,102.25/118,817
  6. Step 6: Final answer
    x = 235,210.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.