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Finding the Third Proportional to 62,437 and 134,849

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Solution

The third proportional to 62,437 and 134,849 is: 291,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,437 : 134,849 = 134,849 : x
  2. Step 2: Convert to fraction form
    62,437/134,849 = 134,849/x
  3. Step 3: Cross multiply
    62,437x = 134,849 × 134,849
  4. Step 4: Simplify right side
    62,437x = 18,184,252,801
  5. Step 5: Solve for x
    x = 18,184,252,801/62,437
  6. Step 6: Final answer
    x = 291,241.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.