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Finding the Third Proportional to 56,646 and 116,932

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Solution

The third proportional to 56,646 and 116,932 is: 241,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,646 : 116,932 = 116,932 : x
  2. Step 2: Convert to fraction form
    56,646/116,932 = 116,932/x
  3. Step 3: Cross multiply
    56,646x = 116,932 × 116,932
  4. Step 4: Simplify right side
    56,646x = 13,673,092,624
  5. Step 5: Solve for x
    x = 13,673,092,624/56,646
  6. Step 6: Final answer
    x = 241,377.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.