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Finding the Third Proportional to 120,824 and 177,672

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Solution

The third proportional to 120,824 and 177,672 is: 261,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,824 : 177,672 = 177,672 : x
  2. Step 2: Convert to fraction form
    120,824/177,672 = 177,672/x
  3. Step 3: Cross multiply
    120,824x = 177,672 × 177,672
  4. Step 4: Simplify right side
    120,824x = 31,567,339,584
  5. Step 5: Solve for x
    x = 31,567,339,584/120,824
  6. Step 6: Final answer
    x = 261,267.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.