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Finding the Third Proportional to 81,541 and 176,652

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Solution

The third proportional to 81,541 and 176,652 is: 382,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,541 : 176,652 = 176,652 : x
  2. Step 2: Convert to fraction form
    81,541/176,652 = 176,652/x
  3. Step 3: Cross multiply
    81,541x = 176,652 × 176,652
  4. Step 4: Simplify right side
    81,541x = 31,205,929,104
  5. Step 5: Solve for x
    x = 31,205,929,104/81,541
  6. Step 6: Final answer
    x = 382,702.31

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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.