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Finding the Third Proportional to 51,792 and 112,812

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Solution

The third proportional to 51,792 and 112,812 is: 245,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,792 : 112,812 = 112,812 : x
  2. Step 2: Convert to fraction form
    51,792/112,812 = 112,812/x
  3. Step 3: Cross multiply
    51,792x = 112,812 × 112,812
  4. Step 4: Simplify right side
    51,792x = 12,726,547,344
  5. Step 5: Solve for x
    x = 12,726,547,344/51,792
  6. Step 6: Final answer
    x = 245,724.19

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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.