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Finding the Third Proportional to 56,710 and 123,782

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Solution

The third proportional to 56,710 and 123,782 is: 270,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,710 : 123,782 = 123,782 : x
  2. Step 2: Convert to fraction form
    56,710/123,782 = 123,782/x
  3. Step 3: Cross multiply
    56,710x = 123,782 × 123,782
  4. Step 4: Simplify right side
    56,710x = 15,321,983,524
  5. Step 5: Solve for x
    x = 15,321,983,524/56,710
  6. Step 6: Final answer
    x = 270,181.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.