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Finding the Third Proportional to 56,147 and 84,449

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Solution

The third proportional to 56,147 and 84,449 is: 127,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,147 : 84,449 = 84,449 : x
  2. Step 2: Convert to fraction form
    56,147/84,449 = 84,449/x
  3. Step 3: Cross multiply
    56,147x = 84,449 × 84,449
  4. Step 4: Simplify right side
    56,147x = 7,131,633,601
  5. Step 5: Solve for x
    x = 7,131,633,601/56,147
  6. Step 6: Final answer
    x = 127,017.18

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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.