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Finding the Third Proportional to 92,640 and 180,672

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Solution

The third proportional to 92,640 and 180,672 is: 352,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,640 : 180,672 = 180,672 : x
  2. Step 2: Convert to fraction form
    92,640/180,672 = 180,672/x
  3. Step 3: Cross multiply
    92,640x = 180,672 × 180,672
  4. Step 4: Simplify right side
    92,640x = 32,642,371,584
  5. Step 5: Solve for x
    x = 32,642,371,584/92,640
  6. Step 6: Final answer
    x = 352,357.21

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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.