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Finding the Third Proportional to 27,254 and 56,932

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Solution

The third proportional to 27,254 and 56,932 is: 118,927.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,254 : 56,932 = 56,932 : x
  2. Step 2: Convert to fraction form
    27,254/56,932 = 56,932/x
  3. Step 3: Cross multiply
    27,254x = 56,932 × 56,932
  4. Step 4: Simplify right side
    27,254x = 3,241,252,624
  5. Step 5: Solve for x
    x = 3,241,252,624/27,254
  6. Step 6: Final answer
    x = 118,927.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.