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Finding the Third Proportional to 136,092 and 279,096

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Solution

The third proportional to 136,092 and 279,096 is: 572,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,092 : 279,096 = 279,096 : x
  2. Step 2: Convert to fraction form
    136,092/279,096 = 279,096/x
  3. Step 3: Cross multiply
    136,092x = 279,096 × 279,096
  4. Step 4: Simplify right side
    136,092x = 77,894,577,216
  5. Step 5: Solve for x
    x = 77,894,577,216/136,092
  6. Step 6: Final answer
    x = 572,367.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.