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Finding the Third Proportional to 114,516 and 164,939

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Solution

The third proportional to 114,516 and 164,939 is: 237,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,516 : 164,939 = 164,939 : x
  2. Step 2: Convert to fraction form
    114,516/164,939 = 164,939/x
  3. Step 3: Cross multiply
    114,516x = 164,939 × 164,939
  4. Step 4: Simplify right side
    114,516x = 27,204,873,721
  5. Step 5: Solve for x
    x = 27,204,873,721/114,516
  6. Step 6: Final answer
    x = 237,563.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.