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Finding the Third Proportional to 59,800.50 and 123,367.50

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Solution

The third proportional to 59,800.50 and 123,367.50 is: 254,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,800.50 : 123,367.50 = 123,367.50 : x
  2. Step 2: Convert to fraction form
    59,800.50/123,367.50 = 123,367.50/x
  3. Step 3: Cross multiply
    59,800.50x = 123,367.50 × 123,367.50
  4. Step 4: Simplify right side
    59,800.50x = 15,219,540,056.25
  5. Step 5: Solve for x
    x = 15,219,540,056.25/59,800.50
  6. Step 6: Final answer
    x = 254,505.23

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.