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Finding the Third Proportional to 119,946 and 179,259

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Solution

The third proportional to 119,946 and 179,259 is: 267,902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,946 : 179,259 = 179,259 : x
  2. Step 2: Convert to fraction form
    119,946/179,259 = 179,259/x
  3. Step 3: Cross multiply
    119,946x = 179,259 × 179,259
  4. Step 4: Simplify right side
    119,946x = 32,133,789,081
  5. Step 5: Solve for x
    x = 32,133,789,081/119,946
  6. Step 6: Final answer
    x = 267,902.13

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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.