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Finding the Third Proportional to 81,893 and 177,610

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Solution

The third proportional to 81,893 and 177,610 is: 385,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,893 : 177,610 = 177,610 : x
  2. Step 2: Convert to fraction form
    81,893/177,610 = 177,610/x
  3. Step 3: Cross multiply
    81,893x = 177,610 × 177,610
  4. Step 4: Simplify right side
    81,893x = 31,545,312,100
  5. Step 5: Solve for x
    x = 31,545,312,100/81,893
  6. Step 6: Final answer
    x = 385,201.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.