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Finding the Third Proportional to 100,316 and 133,167

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Solution

The third proportional to 100,316 and 133,167 is: 176,775.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,316 : 133,167 = 133,167 : x
  2. Step 2: Convert to fraction form
    100,316/133,167 = 133,167/x
  3. Step 3: Cross multiply
    100,316x = 133,167 × 133,167
  4. Step 4: Simplify right side
    100,316x = 17,733,449,889
  5. Step 5: Solve for x
    x = 17,733,449,889/100,316
  6. Step 6: Final answer
    x = 176,775.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.