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Finding the Third Proportional to 46,002 and 71,257

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Solution

The third proportional to 46,002 and 71,257 is: 110,376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,002 : 71,257 = 71,257 : x
  2. Step 2: Convert to fraction form
    46,002/71,257 = 71,257/x
  3. Step 3: Cross multiply
    46,002x = 71,257 × 71,257
  4. Step 4: Simplify right side
    46,002x = 5,077,560,049
  5. Step 5: Solve for x
    x = 5,077,560,049/46,002
  6. Step 6: Final answer
    x = 110,376.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.