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Finding the Third Proportional to 100,834 and 133,099

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Solution

The third proportional to 100,834 and 133,099 is: 175,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,834 : 133,099 = 133,099 : x
  2. Step 2: Convert to fraction form
    100,834/133,099 = 133,099/x
  3. Step 3: Cross multiply
    100,834x = 133,099 × 133,099
  4. Step 4: Simplify right side
    100,834x = 17,715,343,801
  5. Step 5: Solve for x
    x = 17,715,343,801/100,834
  6. Step 6: Final answer
    x = 175,688.20

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.