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Finding the Third Proportional to 102,067 and 133,416

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Solution

The third proportional to 102,067 and 133,416 is: 174,393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,067 : 133,416 = 133,416 : x
  2. Step 2: Convert to fraction form
    102,067/133,416 = 133,416/x
  3. Step 3: Cross multiply
    102,067x = 133,416 × 133,416
  4. Step 4: Simplify right side
    102,067x = 17,799,829,056
  5. Step 5: Solve for x
    x = 17,799,829,056/102,067
  6. Step 6: Final answer
    x = 174,393.58

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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.