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Finding the Third Proportional to 51,948 and 113,502

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Solution

The third proportional to 51,948 and 113,502 is: 247,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,948 : 113,502 = 113,502 : x
  2. Step 2: Convert to fraction form
    51,948/113,502 = 113,502/x
  3. Step 3: Cross multiply
    51,948x = 113,502 × 113,502
  4. Step 4: Simplify right side
    51,948x = 12,882,704,004
  5. Step 5: Solve for x
    x = 12,882,704,004/51,948
  6. Step 6: Final answer
    x = 247,992.30

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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.