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Finding the Third Proportional to 92,642 and 180,676

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Solution

The third proportional to 92,642 and 180,676 is: 352,365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,642 : 180,676 = 180,676 : x
  2. Step 2: Convert to fraction form
    92,642/180,676 = 180,676/x
  3. Step 3: Cross multiply
    92,642x = 180,676 × 180,676
  4. Step 4: Simplify right side
    92,642x = 32,643,816,976
  5. Step 5: Solve for x
    x = 32,643,816,976/92,642
  6. Step 6: Final answer
    x = 352,365.20

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.