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Finding the Third Proportional to 56,472.75 and 117,624

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Solution

The third proportional to 56,472.75 and 117,624 is: 244,992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,472.75 : 117,624 = 117,624 : x
  2. Step 2: Convert to fraction form
    56,472.75/117,624 = 117,624/x
  3. Step 3: Cross multiply
    56,472.75x = 117,624 × 117,624
  4. Step 4: Simplify right side
    56,472.75x = 13,835,405,376
  5. Step 5: Solve for x
    x = 13,835,405,376/56,472.75
  6. Step 6: Final answer
    x = 244,992.59

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.