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Finding the Third Proportional to 52,048 and 115,742

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Solution

The third proportional to 52,048 and 115,742 is: 257,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,048 : 115,742 = 115,742 : x
  2. Step 2: Convert to fraction form
    52,048/115,742 = 115,742/x
  3. Step 3: Cross multiply
    52,048x = 115,742 × 115,742
  4. Step 4: Simplify right side
    52,048x = 13,396,210,564
  5. Step 5: Solve for x
    x = 13,396,210,564/52,048
  6. Step 6: Final answer
    x = 257,381.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.