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Finding the Third Proportional to 104,000 and 156,930

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Solution

The third proportional to 104,000 and 156,930 is: 236,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,000 : 156,930 = 156,930 : x
  2. Step 2: Convert to fraction form
    104,000/156,930 = 156,930/x
  3. Step 3: Cross multiply
    104,000x = 156,930 × 156,930
  4. Step 4: Simplify right side
    104,000x = 24,627,024,900
  5. Step 5: Solve for x
    x = 24,627,024,900/104,000
  6. Step 6: Final answer
    x = 236,798.32

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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.