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Finding the Third Proportional to 51,987 and 113,298

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Solution

The third proportional to 51,987 and 113,298 is: 246,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,987 : 113,298 = 113,298 : x
  2. Step 2: Convert to fraction form
    51,987/113,298 = 113,298/x
  3. Step 3: Cross multiply
    51,987x = 113,298 × 113,298
  4. Step 4: Simplify right side
    51,987x = 12,836,436,804
  5. Step 5: Solve for x
    x = 12,836,436,804/51,987
  6. Step 6: Final answer
    x = 246,916.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.