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Finding the Third Proportional to 119,032 and 179,760

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Solution

The third proportional to 119,032 and 179,760 is: 271,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,032 : 179,760 = 179,760 : x
  2. Step 2: Convert to fraction form
    119,032/179,760 = 179,760/x
  3. Step 3: Cross multiply
    119,032x = 179,760 × 179,760
  4. Step 4: Simplify right side
    119,032x = 32,313,657,600
  5. Step 5: Solve for x
    x = 32,313,657,600/119,032
  6. Step 6: Final answer
    x = 271,470.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.