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Finding the Third Proportional to 51,942 and 113,490

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Solution

The third proportional to 51,942 and 113,490 is: 247,968.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,942 : 113,490 = 113,490 : x
  2. Step 2: Convert to fraction form
    51,942/113,490 = 113,490/x
  3. Step 3: Cross multiply
    51,942x = 113,490 × 113,490
  4. Step 4: Simplify right side
    51,942x = 12,879,980,100
  5. Step 5: Solve for x
    x = 12,879,980,100/51,942
  6. Step 6: Final answer
    x = 247,968.51

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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.