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Finding the Third Proportional to 80,025 and 119,446.50

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Solution

The third proportional to 80,025 and 119,446.50 is: 178,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,025 : 119,446.50 = 119,446.50 : x
  2. Step 2: Convert to fraction form
    80,025/119,446.50 = 119,446.50/x
  3. Step 3: Cross multiply
    80,025x = 119,446.50 × 119,446.50
  4. Step 4: Simplify right side
    80,025x = 14,267,466,362.25
  5. Step 5: Solve for x
    x = 14,267,466,362.25/80,025
  6. Step 6: Final answer
    x = 178,287.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.