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Finding the Third Proportional to 61,326 and 131,404

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Solution

The third proportional to 61,326 and 131,404 is: 281,561.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,326 : 131,404 = 131,404 : x
  2. Step 2: Convert to fraction form
    61,326/131,404 = 131,404/x
  3. Step 3: Cross multiply
    61,326x = 131,404 × 131,404
  4. Step 4: Simplify right side
    61,326x = 17,267,011,216
  5. Step 5: Solve for x
    x = 17,267,011,216/61,326
  6. Step 6: Final answer
    x = 281,561.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.