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Finding the Third Proportional to 104,037 and 136,025

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Solution

The third proportional to 104,037 and 136,025 is: 177,848.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,037 : 136,025 = 136,025 : x
  2. Step 2: Convert to fraction form
    104,037/136,025 = 136,025/x
  3. Step 3: Cross multiply
    104,037x = 136,025 × 136,025
  4. Step 4: Simplify right side
    104,037x = 18,502,800,625
  5. Step 5: Solve for x
    x = 18,502,800,625/104,037
  6. Step 6: Final answer
    x = 177,848.27

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.