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Finding the Third Proportional to 42,290 and 92,950

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Solution

The third proportional to 42,290 and 92,950 is: 204,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,290 : 92,950 = 92,950 : x
  2. Step 2: Convert to fraction form
    42,290/92,950 = 92,950/x
  3. Step 3: Cross multiply
    42,290x = 92,950 × 92,950
  4. Step 4: Simplify right side
    42,290x = 8,639,702,500
  5. Step 5: Solve for x
    x = 8,639,702,500/42,290
  6. Step 6: Final answer
    x = 204,296.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.