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Finding the Third Proportional to 136,156 and 190,446

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Solution

The third proportional to 136,156 and 190,446 is: 266,383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,156 : 190,446 = 190,446 : x
  2. Step 2: Convert to fraction form
    136,156/190,446 = 190,446/x
  3. Step 3: Cross multiply
    136,156x = 190,446 × 190,446
  4. Step 4: Simplify right side
    136,156x = 36,269,678,916
  5. Step 5: Solve for x
    x = 36,269,678,916/136,156
  6. Step 6: Final answer
    x = 266,383.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.