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Finding the Third Proportional to 51,664 and 113,159

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Solution

The third proportional to 51,664 and 113,159 is: 247,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,664 : 113,159 = 113,159 : x
  2. Step 2: Convert to fraction form
    51,664/113,159 = 113,159/x
  3. Step 3: Cross multiply
    51,664x = 113,159 × 113,159
  4. Step 4: Simplify right side
    51,664x = 12,804,959,281
  5. Step 5: Solve for x
    x = 12,804,959,281/51,664
  6. Step 6: Final answer
    x = 247,850.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.