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Finding the Third Proportional to 113,838 and 164,463

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Solution

The third proportional to 113,838 and 164,463 is: 237,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,838 : 164,463 = 164,463 : x
  2. Step 2: Convert to fraction form
    113,838/164,463 = 164,463/x
  3. Step 3: Cross multiply
    113,838x = 164,463 × 164,463
  4. Step 4: Simplify right side
    113,838x = 27,048,078,369
  5. Step 5: Solve for x
    x = 27,048,078,369/113,838
  6. Step 6: Final answer
    x = 237,601.49

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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.