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Finding the Third Proportional to 79,377 and 119,055

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Solution

The third proportional to 79,377 and 119,055 is: 178,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,377 : 119,055 = 119,055 : x
  2. Step 2: Convert to fraction form
    79,377/119,055 = 119,055/x
  3. Step 3: Cross multiply
    79,377x = 119,055 × 119,055
  4. Step 4: Simplify right side
    79,377x = 14,174,093,025
  5. Step 5: Solve for x
    x = 14,174,093,025/79,377
  6. Step 6: Final answer
    x = 178,566.75

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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.