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Finding the Third Proportional to 104,772 and 156,774

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Solution

The third proportional to 104,772 and 156,774 is: 234,586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,772 : 156,774 = 156,774 : x
  2. Step 2: Convert to fraction form
    104,772/156,774 = 156,774/x
  3. Step 3: Cross multiply
    104,772x = 156,774 × 156,774
  4. Step 4: Simplify right side
    104,772x = 24,578,087,076
  5. Step 5: Solve for x
    x = 24,578,087,076/104,772
  6. Step 6: Final answer
    x = 234,586.41

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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.