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Finding the Third Proportional to 57,922 and 86,867

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Solution

The third proportional to 57,922 and 86,867 is: 130,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,922 : 86,867 = 86,867 : x
  2. Step 2: Convert to fraction form
    57,922/86,867 = 86,867/x
  3. Step 3: Cross multiply
    57,922x = 86,867 × 86,867
  4. Step 4: Simplify right side
    57,922x = 7,545,875,689
  5. Step 5: Solve for x
    x = 7,545,875,689/57,922
  6. Step 6: Final answer
    x = 130,276.50

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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.