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Finding the Third Proportional to 82,959 and 177,558

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Solution

The third proportional to 82,959 and 177,558 is: 380,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,959 : 177,558 = 177,558 : x
  2. Step 2: Convert to fraction form
    82,959/177,558 = 177,558/x
  3. Step 3: Cross multiply
    82,959x = 177,558 × 177,558
  4. Step 4: Simplify right side
    82,959x = 31,526,843,364
  5. Step 5: Solve for x
    x = 31,526,843,364/82,959
  6. Step 6: Final answer
    x = 380,029.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.