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Finding the Third Proportional to 120,644 and 177,454

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Solution

The third proportional to 120,644 and 177,454 is: 261,015.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,644 : 177,454 = 177,454 : x
  2. Step 2: Convert to fraction form
    120,644/177,454 = 177,454/x
  3. Step 3: Cross multiply
    120,644x = 177,454 × 177,454
  4. Step 4: Simplify right side
    120,644x = 31,489,922,116
  5. Step 5: Solve for x
    x = 31,489,922,116/120,644
  6. Step 6: Final answer
    x = 261,015.24

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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.