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Finding the Third Proportional to 58,744 and 87,859

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Solution

The third proportional to 58,744 and 87,859 is: 131,404.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,744 : 87,859 = 87,859 : x
  2. Step 2: Convert to fraction form
    58,744/87,859 = 87,859/x
  3. Step 3: Cross multiply
    58,744x = 87,859 × 87,859
  4. Step 4: Simplify right side
    58,744x = 7,719,203,881
  5. Step 5: Solve for x
    x = 7,719,203,881/58,744
  6. Step 6: Final answer
    x = 131,404.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.