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Finding the Third Proportional to 100,200.50 and 140,094.50

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Solution

The third proportional to 100,200.50 and 140,094.50 is: 195,871.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,200.50 : 140,094.50 = 140,094.50 : x
  2. Step 2: Convert to fraction form
    100,200.50/140,094.50 = 140,094.50/x
  3. Step 3: Cross multiply
    100,200.50x = 140,094.50 × 140,094.50
  4. Step 4: Simplify right side
    100,200.50x = 19,626,468,930.25
  5. Step 5: Solve for x
    x = 19,626,468,930.25/100,200.50
  6. Step 6: Final answer
    x = 195,871.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.