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Finding the Third Proportional to 104,491 and 156,736

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Solution

The third proportional to 104,491 and 156,736 is: 235,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,491 : 156,736 = 156,736 : x
  2. Step 2: Convert to fraction form
    104,491/156,736 = 156,736/x
  3. Step 3: Cross multiply
    104,491x = 156,736 × 156,736
  4. Step 4: Simplify right side
    104,491x = 24,566,173,696
  5. Step 5: Solve for x
    x = 24,566,173,696/104,491
  6. Step 6: Final answer
    x = 235,103.25

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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.