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Finding the Third Proportional to 57,537 and 124,875

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Solution

The third proportional to 57,537 and 124,875 is: 271,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,537 : 124,875 = 124,875 : x
  2. Step 2: Convert to fraction form
    57,537/124,875 = 124,875/x
  3. Step 3: Cross multiply
    57,537x = 124,875 × 124,875
  4. Step 4: Simplify right side
    57,537x = 15,593,765,625
  5. Step 5: Solve for x
    x = 15,593,765,625/57,537
  6. Step 6: Final answer
    x = 271,021.53

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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.