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Finding the Third Proportional to 117,366 and 159,463

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Solution

The third proportional to 117,366 and 159,463 is: 216,659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,366 : 159,463 = 159,463 : x
  2. Step 2: Convert to fraction form
    117,366/159,463 = 159,463/x
  3. Step 3: Cross multiply
    117,366x = 159,463 × 159,463
  4. Step 4: Simplify right side
    117,366x = 25,428,448,369
  5. Step 5: Solve for x
    x = 25,428,448,369/117,366
  6. Step 6: Final answer
    x = 216,659.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.