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Finding the Third Proportional to 92,620 and 192,507.50

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Solution

The third proportional to 92,620 and 192,507.50 is: 400,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,620 : 192,507.50 = 192,507.50 : x
  2. Step 2: Convert to fraction form
    92,620/192,507.50 = 192,507.50/x
  3. Step 3: Cross multiply
    92,620x = 192,507.50 × 192,507.50
  4. Step 4: Simplify right side
    92,620x = 37,059,137,556.25
  5. Step 5: Solve for x
    x = 37,059,137,556.25/92,620
  6. Step 6: Final answer
    x = 400,120.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.