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Finding the Third Proportional to 119,942 and 176,025

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Solution

The third proportional to 119,942 and 176,025 is: 258,331.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,942 : 176,025 = 176,025 : x
  2. Step 2: Convert to fraction form
    119,942/176,025 = 176,025/x
  3. Step 3: Cross multiply
    119,942x = 176,025 × 176,025
  4. Step 4: Simplify right side
    119,942x = 30,984,800,625
  5. Step 5: Solve for x
    x = 30,984,800,625/119,942
  6. Step 6: Final answer
    x = 258,331.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.