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Finding the Third Proportional to 119,025 and 178,551

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Solution

The third proportional to 119,025 and 178,551 is: 267,846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,025 : 178,551 = 178,551 : x
  2. Step 2: Convert to fraction form
    119,025/178,551 = 178,551/x
  3. Step 3: Cross multiply
    119,025x = 178,551 × 178,551
  4. Step 4: Simplify right side
    119,025x = 31,880,459,601
  5. Step 5: Solve for x
    x = 31,880,459,601/119,025
  6. Step 6: Final answer
    x = 267,846.75

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Why These Related Problems?

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