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Finding the Third Proportional to 119,510 and 180,189

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Solution

The third proportional to 119,510 and 180,189 is: 271,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,510 : 180,189 = 180,189 : x
  2. Step 2: Convert to fraction form
    119,510/180,189 = 180,189/x
  3. Step 3: Cross multiply
    119,510x = 180,189 × 180,189
  4. Step 4: Simplify right side
    119,510x = 32,468,075,721
  5. Step 5: Solve for x
    x = 32,468,075,721/119,510
  6. Step 6: Final answer
    x = 271,676.64

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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.