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Finding the Third Proportional to 70,164 and 133,860

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Solution

The third proportional to 70,164 and 133,860 is: 255,380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,164 : 133,860 = 133,860 : x
  2. Step 2: Convert to fraction form
    70,164/133,860 = 133,860/x
  3. Step 3: Cross multiply
    70,164x = 133,860 × 133,860
  4. Step 4: Simplify right side
    70,164x = 17,918,499,600
  5. Step 5: Solve for x
    x = 17,918,499,600/70,164
  6. Step 6: Final answer
    x = 255,380.25

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.