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Finding the Third Proportional to 57,978 and 125,550

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Solution

The third proportional to 57,978 and 125,550 is: 271,875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,978 : 125,550 = 125,550 : x
  2. Step 2: Convert to fraction form
    57,978/125,550 = 125,550/x
  3. Step 3: Cross multiply
    57,978x = 125,550 × 125,550
  4. Step 4: Simplify right side
    57,978x = 15,762,802,500
  5. Step 5: Solve for x
    x = 15,762,802,500/57,978
  6. Step 6: Final answer
    x = 271,875.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.