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Finding the Third Proportional to 91,767 and 193,902

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Solution

The third proportional to 91,767 and 193,902 is: 409,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,767 : 193,902 = 193,902 : x
  2. Step 2: Convert to fraction form
    91,767/193,902 = 193,902/x
  3. Step 3: Cross multiply
    91,767x = 193,902 × 193,902
  4. Step 4: Simplify right side
    91,767x = 37,597,985,604
  5. Step 5: Solve for x
    x = 37,597,985,604/91,767
  6. Step 6: Final answer
    x = 409,711.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.