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Finding the Third Proportional to 136,098 and 200,259

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Solution

The third proportional to 136,098 and 200,259 is: 294,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,098 : 200,259 = 200,259 : x
  2. Step 2: Convert to fraction form
    136,098/200,259 = 200,259/x
  3. Step 3: Cross multiply
    136,098x = 200,259 × 200,259
  4. Step 4: Simplify right side
    136,098x = 40,103,667,081
  5. Step 5: Solve for x
    x = 40,103,667,081/136,098
  6. Step 6: Final answer
    x = 294,667.57

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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.