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Finding the Third Proportional to 57,444 and 121,832

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Solution

The third proportional to 57,444 and 121,832 is: 258,391.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,444 : 121,832 = 121,832 : x
  2. Step 2: Convert to fraction form
    57,444/121,832 = 121,832/x
  3. Step 3: Cross multiply
    57,444x = 121,832 × 121,832
  4. Step 4: Simplify right side
    57,444x = 14,843,036,224
  5. Step 5: Solve for x
    x = 14,843,036,224/57,444
  6. Step 6: Final answer
    x = 258,391.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.