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Finding the Third Proportional to 101,684.50 and 154,600

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Solution

The third proportional to 101,684.50 and 154,600 is: 235,052.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,684.50 : 154,600 = 154,600 : x
  2. Step 2: Convert to fraction form
    101,684.50/154,600 = 154,600/x
  3. Step 3: Cross multiply
    101,684.50x = 154,600 × 154,600
  4. Step 4: Simplify right side
    101,684.50x = 23,901,160,000
  5. Step 5: Solve for x
    x = 23,901,160,000/101,684.50
  6. Step 6: Final answer
    x = 235,052.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.