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Finding the Third Proportional to 46,263 and 69,211

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Solution

The third proportional to 46,263 and 69,211 is: 103,541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,263 : 69,211 = 69,211 : x
  2. Step 2: Convert to fraction form
    46,263/69,211 = 69,211/x
  3. Step 3: Cross multiply
    46,263x = 69,211 × 69,211
  4. Step 4: Simplify right side
    46,263x = 4,790,162,521
  5. Step 5: Solve for x
    x = 4,790,162,521/46,263
  6. Step 6: Final answer
    x = 103,541.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.