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Finding the Third Proportional to 100,314 and 133,164

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Solution

The third proportional to 100,314 and 133,164 is: 176,771.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,314 : 133,164 = 133,164 : x
  2. Step 2: Convert to fraction form
    100,314/133,164 = 133,164/x
  3. Step 3: Cross multiply
    100,314x = 133,164 × 133,164
  4. Step 4: Simplify right side
    100,314x = 17,732,650,896
  5. Step 5: Solve for x
    x = 17,732,650,896/100,314
  6. Step 6: Final answer
    x = 176,771.45

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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.