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Finding the Third Proportional to 43,159 and 58,311

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Solution

The third proportional to 43,159 and 58,311 is: 78,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,159 : 58,311 = 58,311 : x
  2. Step 2: Convert to fraction form
    43,159/58,311 = 58,311/x
  3. Step 3: Cross multiply
    43,159x = 58,311 × 58,311
  4. Step 4: Simplify right side
    43,159x = 3,400,172,721
  5. Step 5: Solve for x
    x = 3,400,172,721/43,159
  6. Step 6: Final answer
    x = 78,782.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.