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Finding the Third Proportional to 120,788 and 177,629

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Solution

The third proportional to 120,788 and 177,629 is: 261,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,788 : 177,629 = 177,629 : x
  2. Step 2: Convert to fraction form
    120,788/177,629 = 177,629/x
  3. Step 3: Cross multiply
    120,788x = 177,629 × 177,629
  4. Step 4: Simplify right side
    120,788x = 31,552,061,641
  5. Step 5: Solve for x
    x = 31,552,061,641/120,788
  6. Step 6: Final answer
    x = 261,218.51

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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.