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Finding the Third Proportional to 88,672 and 133,098

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Solution

The third proportional to 88,672 and 133,098 is: 199,782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,672 : 133,098 = 133,098 : x
  2. Step 2: Convert to fraction form
    88,672/133,098 = 133,098/x
  3. Step 3: Cross multiply
    88,672x = 133,098 × 133,098
  4. Step 4: Simplify right side
    88,672x = 17,715,077,604
  5. Step 5: Solve for x
    x = 17,715,077,604/88,672
  6. Step 6: Final answer
    x = 199,782.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.