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Finding the Third Proportional to 85,838 and 131,309

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Solution

The third proportional to 85,838 and 131,309 is: 200,867.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,838 : 131,309 = 131,309 : x
  2. Step 2: Convert to fraction form
    85,838/131,309 = 131,309/x
  3. Step 3: Cross multiply
    85,838x = 131,309 × 131,309
  4. Step 4: Simplify right side
    85,838x = 17,242,053,481
  5. Step 5: Solve for x
    x = 17,242,053,481/85,838
  6. Step 6: Final answer
    x = 200,867.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.