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Finding the Third Proportional to 104,465 and 159,145

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Solution

The third proportional to 104,465 and 159,145 is: 242,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,465 : 159,145 = 159,145 : x
  2. Step 2: Convert to fraction form
    104,465/159,145 = 159,145/x
  3. Step 3: Cross multiply
    104,465x = 159,145 × 159,145
  4. Step 4: Simplify right side
    104,465x = 25,327,131,025
  5. Step 5: Solve for x
    x = 25,327,131,025/104,465
  6. Step 6: Final answer
    x = 242,446.09

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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.