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Finding the Third Proportional to 57,468 and 84,015

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Solution

The third proportional to 57,468 and 84,015 is: 122,825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,468 : 84,015 = 84,015 : x
  2. Step 2: Convert to fraction form
    57,468/84,015 = 84,015/x
  3. Step 3: Cross multiply
    57,468x = 84,015 × 84,015
  4. Step 4: Simplify right side
    57,468x = 7,058,520,225
  5. Step 5: Solve for x
    x = 7,058,520,225/57,468
  6. Step 6: Final answer
    x = 122,825.23

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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.