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Finding the Third Proportional to 51,948 and 81,381

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Solution

The third proportional to 51,948 and 81,381 is: 127,490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,948 : 81,381 = 81,381 : x
  2. Step 2: Convert to fraction form
    51,948/81,381 = 81,381/x
  3. Step 3: Cross multiply
    51,948x = 81,381 × 81,381
  4. Step 4: Simplify right side
    51,948x = 6,622,867,161
  5. Step 5: Solve for x
    x = 6,622,867,161/51,948
  6. Step 6: Final answer
    x = 127,490.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.