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Finding the Third Proportional to 104,471 and 159,154

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Solution

The third proportional to 104,471 and 159,154 is: 242,459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,471 : 159,154 = 159,154 : x
  2. Step 2: Convert to fraction form
    104,471/159,154 = 159,154/x
  3. Step 3: Cross multiply
    104,471x = 159,154 × 159,154
  4. Step 4: Simplify right side
    104,471x = 25,329,995,716
  5. Step 5: Solve for x
    x = 25,329,995,716/104,471
  6. Step 6: Final answer
    x = 242,459.59

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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.