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Finding the Third Proportional to 57,586 and 125,008

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Solution

The third proportional to 57,586 and 125,008 is: 271,368.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,586 : 125,008 = 125,008 : x
  2. Step 2: Convert to fraction form
    57,586/125,008 = 125,008/x
  3. Step 3: Cross multiply
    57,586x = 125,008 × 125,008
  4. Step 4: Simplify right side
    57,586x = 15,627,000,064
  5. Step 5: Solve for x
    x = 15,627,000,064/57,586
  6. Step 6: Final answer
    x = 271,368.04

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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.