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Finding the Third Proportional to 59,512 and 123,945

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Solution

The third proportional to 59,512 and 123,945 is: 258,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,512 : 123,945 = 123,945 : x
  2. Step 2: Convert to fraction form
    59,512/123,945 = 123,945/x
  3. Step 3: Cross multiply
    59,512x = 123,945 × 123,945
  4. Step 4: Simplify right side
    59,512x = 15,362,363,025
  5. Step 5: Solve for x
    x = 15,362,363,025/59,512
  6. Step 6: Final answer
    x = 258,138.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.