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Finding the Third Proportional to 41,562 and 88,950

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Solution

The third proportional to 41,562 and 88,950 is: 190,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,562 : 88,950 = 88,950 : x
  2. Step 2: Convert to fraction form
    41,562/88,950 = 88,950/x
  3. Step 3: Cross multiply
    41,562x = 88,950 × 88,950
  4. Step 4: Simplify right side
    41,562x = 7,912,102,500
  5. Step 5: Solve for x
    x = 7,912,102,500/41,562
  6. Step 6: Final answer
    x = 190,368.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.