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Finding the Third Proportional to 56,313 and 100,104.75

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Solution

The third proportional to 56,313 and 100,104.75 is: 177,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,313 : 100,104.75 = 100,104.75 : x
  2. Step 2: Convert to fraction form
    56,313/100,104.75 = 100,104.75/x
  3. Step 3: Cross multiply
    56,313x = 100,104.75 × 100,104.75
  4. Step 4: Simplify right side
    56,313x = 10,020,960,972.56
  5. Step 5: Solve for x
    x = 10,020,960,972.56/56,313
  6. Step 6: Final answer
    x = 177,951.11

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.