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Finding the Third Proportional to 136,096 and 291,868

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Solution

The third proportional to 136,096 and 291,868 is: 625,932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,096 : 291,868 = 291,868 : x
  2. Step 2: Convert to fraction form
    136,096/291,868 = 291,868/x
  3. Step 3: Cross multiply
    136,096x = 291,868 × 291,868
  4. Step 4: Simplify right side
    136,096x = 85,186,929,424
  5. Step 5: Solve for x
    x = 85,186,929,424/136,096
  6. Step 6: Final answer
    x = 625,932.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.