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Finding the Third Proportional to 120,774 and 177,552

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Solution

The third proportional to 120,774 and 177,552 is: 261,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,774 : 177,552 = 177,552 : x
  2. Step 2: Convert to fraction form
    120,774/177,552 = 177,552/x
  3. Step 3: Cross multiply
    120,774x = 177,552 × 177,552
  4. Step 4: Simplify right side
    120,774x = 31,524,712,704
  5. Step 5: Solve for x
    x = 31,524,712,704/120,774
  6. Step 6: Final answer
    x = 261,022.35

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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.