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Finding the Third Proportional to 57,102 and 125,595

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Solution

The third proportional to 57,102 and 125,595 is: 276,244.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,102 : 125,595 = 125,595 : x
  2. Step 2: Convert to fraction form
    57,102/125,595 = 125,595/x
  3. Step 3: Cross multiply
    57,102x = 125,595 × 125,595
  4. Step 4: Simplify right side
    57,102x = 15,774,104,025
  5. Step 5: Solve for x
    x = 15,774,104,025/57,102
  6. Step 6: Final answer
    x = 276,244.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.