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Finding the Third Proportional to 82,323 and 177,126.75

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Solution

The third proportional to 82,323 and 177,126.75 is: 381,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,323 : 177,126.75 = 177,126.75 : x
  2. Step 2: Convert to fraction form
    82,323/177,126.75 = 177,126.75/x
  3. Step 3: Cross multiply
    82,323x = 177,126.75 × 177,126.75
  4. Step 4: Simplify right side
    82,323x = 31,373,885,565.56
  5. Step 5: Solve for x
    x = 31,373,885,565.56/82,323
  6. Step 6: Final answer
    x = 381,107.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.