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Finding the Third Proportional to 27,122 and 57,160

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Solution

The third proportional to 27,122 and 57,160 is: 120,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,122 : 57,160 = 57,160 : x
  2. Step 2: Convert to fraction form
    27,122/57,160 = 57,160/x
  3. Step 3: Cross multiply
    27,122x = 57,160 × 57,160
  4. Step 4: Simplify right side
    27,122x = 3,267,265,600
  5. Step 5: Solve for x
    x = 3,267,265,600/27,122
  6. Step 6: Final answer
    x = 120,465.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.