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Finding the Third Proportional to 104,003 and 156,935

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Solution

The third proportional to 104,003 and 156,935 is: 236,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,003 : 156,935 = 156,935 : x
  2. Step 2: Convert to fraction form
    104,003/156,935 = 156,935/x
  3. Step 3: Cross multiply
    104,003x = 156,935 × 156,935
  4. Step 4: Simplify right side
    104,003x = 24,628,594,225
  5. Step 5: Solve for x
    x = 24,628,594,225/104,003
  6. Step 6: Final answer
    x = 236,806.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.