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Finding the Third Proportional to 104,499 and 156,505

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Solution

The third proportional to 104,499 and 156,505 is: 234,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,499 : 156,505 = 156,505 : x
  2. Step 2: Convert to fraction form
    104,499/156,505 = 156,505/x
  3. Step 3: Cross multiply
    104,499x = 156,505 × 156,505
  4. Step 4: Simplify right side
    104,499x = 24,493,815,025
  5. Step 5: Solve for x
    x = 24,493,815,025/104,499
  6. Step 6: Final answer
    x = 234,392.82

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