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Finding the Third Proportional to 62,230.50 and 133,690.50

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Solution

The third proportional to 62,230.50 and 133,690.50 is: 287,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,230.50 : 133,690.50 = 133,690.50 : x
  2. Step 2: Convert to fraction form
    62,230.50/133,690.50 = 133,690.50/x
  3. Step 3: Cross multiply
    62,230.50x = 133,690.50 × 133,690.50
  4. Step 4: Simplify right side
    62,230.50x = 17,873,149,790.25
  5. Step 5: Solve for x
    x = 17,873,149,790.25/62,230.50
  6. Step 6: Final answer
    x = 287,208.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.