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Finding the Third Proportional to 57,865 and 122,841

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Solution

The third proportional to 57,865 and 122,841 is: 260,777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,865 : 122,841 = 122,841 : x
  2. Step 2: Convert to fraction form
    57,865/122,841 = 122,841/x
  3. Step 3: Cross multiply
    57,865x = 122,841 × 122,841
  4. Step 4: Simplify right side
    57,865x = 15,089,911,281
  5. Step 5: Solve for x
    x = 15,089,911,281/57,865
  6. Step 6: Final answer
    x = 260,777.87

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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.