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Finding the Third Proportional to 104,414 and 159,068

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Solution

The third proportional to 104,414 and 159,068 is: 242,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,414 : 159,068 = 159,068 : x
  2. Step 2: Convert to fraction form
    104,414/159,068 = 159,068/x
  3. Step 3: Cross multiply
    104,414x = 159,068 × 159,068
  4. Step 4: Simplify right side
    104,414x = 25,302,628,624
  5. Step 5: Solve for x
    x = 25,302,628,624/104,414
  6. Step 6: Final answer
    x = 242,329.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.