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Finding the Third Proportional to 100,477 and 136,833

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Solution

The third proportional to 100,477 and 136,833 is: 186,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,477 : 136,833 = 136,833 : x
  2. Step 2: Convert to fraction form
    100,477/136,833 = 136,833/x
  3. Step 3: Cross multiply
    100,477x = 136,833 × 136,833
  4. Step 4: Simplify right side
    100,477x = 18,723,269,889
  5. Step 5: Solve for x
    x = 18,723,269,889/100,477
  6. Step 6: Final answer
    x = 186,343.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.