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Finding the Third Proportional to 104,309 and 156,949

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Solution

The third proportional to 104,309 and 156,949 is: 236,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,309 : 156,949 = 156,949 : x
  2. Step 2: Convert to fraction form
    104,309/156,949 = 156,949/x
  3. Step 3: Cross multiply
    104,309x = 156,949 × 156,949
  4. Step 4: Simplify right side
    104,309x = 24,632,988,601
  5. Step 5: Solve for x
    x = 24,632,988,601/104,309
  6. Step 6: Final answer
    x = 236,154.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.