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Finding the Third Proportional to 88,318 and 133,307

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Solution

The third proportional to 88,318 and 133,307 is: 201,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,318 : 133,307 = 133,307 : x
  2. Step 2: Convert to fraction form
    88,318/133,307 = 133,307/x
  3. Step 3: Cross multiply
    88,318x = 133,307 × 133,307
  4. Step 4: Simplify right side
    88,318x = 17,770,756,249
  5. Step 5: Solve for x
    x = 17,770,756,249/88,318
  6. Step 6: Final answer
    x = 201,213.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.