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Finding the Third Proportional to 59,203.50 and 122,620.50

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Solution

The third proportional to 59,203.50 and 122,620.50 is: 253,967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,203.50 : 122,620.50 = 122,620.50 : x
  2. Step 2: Convert to fraction form
    59,203.50/122,620.50 = 122,620.50/x
  3. Step 3: Cross multiply
    59,203.50x = 122,620.50 × 122,620.50
  4. Step 4: Simplify right side
    59,203.50x = 15,035,787,020.25
  5. Step 5: Solve for x
    x = 15,035,787,020.25/59,203.50
  6. Step 6: Final answer
    x = 253,967.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.