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Finding the Third Proportional to 57,467 and 84,013

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Solution

The third proportional to 57,467 and 84,013 is: 122,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,467 : 84,013 = 84,013 : x
  2. Step 2: Convert to fraction form
    57,467/84,013 = 84,013/x
  3. Step 3: Cross multiply
    57,467x = 84,013 × 84,013
  4. Step 4: Simplify right side
    57,467x = 7,058,184,169
  5. Step 5: Solve for x
    x = 7,058,184,169/57,467
  6. Step 6: Final answer
    x = 122,821.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.