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Finding the Third Proportional to 136,037 and 211,160

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Solution

The third proportional to 136,037 and 211,160 is: 327,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,037 : 211,160 = 211,160 : x
  2. Step 2: Convert to fraction form
    136,037/211,160 = 211,160/x
  3. Step 3: Cross multiply
    136,037x = 211,160 × 211,160
  4. Step 4: Simplify right side
    136,037x = 44,588,545,600
  5. Step 5: Solve for x
    x = 44,588,545,600/136,037
  6. Step 6: Final answer
    x = 327,767.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.