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Finding the Third Proportional to 84,785 and 179,020

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Solution

The third proportional to 84,785 and 179,020 is: 377,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,785 : 179,020 = 179,020 : x
  2. Step 2: Convert to fraction form
    84,785/179,020 = 179,020/x
  3. Step 3: Cross multiply
    84,785x = 179,020 × 179,020
  4. Step 4: Simplify right side
    84,785x = 32,048,160,400
  5. Step 5: Solve for x
    x = 32,048,160,400/84,785
  6. Step 6: Final answer
    x = 377,993.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.