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Finding the Third Proportional to 119,966 and 179,289

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Solution

The third proportional to 119,966 and 179,289 is: 267,947.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,966 : 179,289 = 179,289 : x
  2. Step 2: Convert to fraction form
    119,966/179,289 = 179,289/x
  3. Step 3: Cross multiply
    119,966x = 179,289 × 179,289
  4. Step 4: Simplify right side
    119,966x = 32,144,545,521
  5. Step 5: Solve for x
    x = 32,144,545,521/119,966
  6. Step 6: Final answer
    x = 267,947.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.