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Finding the Third Proportional to 82,889 and 177,412

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Solution

The third proportional to 82,889 and 177,412 is: 379,724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,889 : 177,412 = 177,412 : x
  2. Step 2: Convert to fraction form
    82,889/177,412 = 177,412/x
  3. Step 3: Cross multiply
    82,889x = 177,412 × 177,412
  4. Step 4: Simplify right side
    82,889x = 31,475,017,744
  5. Step 5: Solve for x
    x = 31,475,017,744/82,889
  6. Step 6: Final answer
    x = 379,724.91

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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.