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Finding the Third Proportional to 57,378 and 125,832

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Solution

The third proportional to 57,378 and 125,832 is: 275,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,378 : 125,832 = 125,832 : x
  2. Step 2: Convert to fraction form
    57,378/125,832 = 125,832/x
  3. Step 3: Cross multiply
    57,378x = 125,832 × 125,832
  4. Step 4: Simplify right side
    57,378x = 15,833,692,224
  5. Step 5: Solve for x
    x = 15,833,692,224/57,378
  6. Step 6: Final answer
    x = 275,954.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.