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Finding the Third Proportional to 101,711.50 and 147,950

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Solution

The third proportional to 101,711.50 and 147,950 is: 215,208.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,711.50 : 147,950 = 147,950 : x
  2. Step 2: Convert to fraction form
    101,711.50/147,950 = 147,950/x
  3. Step 3: Cross multiply
    101,711.50x = 147,950 × 147,950
  4. Step 4: Simplify right side
    101,711.50x = 21,889,202,500
  5. Step 5: Solve for x
    x = 21,889,202,500/101,711.50
  6. Step 6: Final answer
    x = 215,208.73

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.