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Finding the Third Proportional to 51,371 and 112,195

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Solution

The third proportional to 51,371 and 112,195 is: 245,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,371 : 112,195 = 112,195 : x
  2. Step 2: Convert to fraction form
    51,371/112,195 = 112,195/x
  3. Step 3: Cross multiply
    51,371x = 112,195 × 112,195
  4. Step 4: Simplify right side
    51,371x = 12,587,718,025
  5. Step 5: Solve for x
    x = 12,587,718,025/51,371
  6. Step 6: Final answer
    x = 245,035.49

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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.