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Finding the Third Proportional to 79,237.50 and 174,027

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Solution

The third proportional to 79,237.50 and 174,027 is: 382,210.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,237.50 : 174,027 = 174,027 : x
  2. Step 2: Convert to fraction form
    79,237.50/174,027 = 174,027/x
  3. Step 3: Cross multiply
    79,237.50x = 174,027 × 174,027
  4. Step 4: Simplify right side
    79,237.50x = 30,285,396,729
  5. Step 5: Solve for x
    x = 30,285,396,729/79,237.50
  6. Step 6: Final answer
    x = 382,210.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.