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Finding the Third Proportional to 57,865 and 86,961

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Solution

The third proportional to 57,865 and 86,961 is: 130,687.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,865 : 86,961 = 86,961 : x
  2. Step 2: Convert to fraction form
    57,865/86,961 = 86,961/x
  3. Step 3: Cross multiply
    57,865x = 86,961 × 86,961
  4. Step 4: Simplify right side
    57,865x = 7,562,215,521
  5. Step 5: Solve for x
    x = 7,562,215,521/57,865
  6. Step 6: Final answer
    x = 130,687.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.