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Finding the Third Proportional to 57,684 and 125,160

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Solution

The third proportional to 57,684 and 125,160 is: 271,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,684 : 125,160 = 125,160 : x
  2. Step 2: Convert to fraction form
    57,684/125,160 = 125,160/x
  3. Step 3: Cross multiply
    57,684x = 125,160 × 125,160
  4. Step 4: Simplify right side
    57,684x = 15,665,025,600
  5. Step 5: Solve for x
    x = 15,665,025,600/57,684
  6. Step 6: Final answer
    x = 271,566.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.