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Finding the Third Proportional to 133,085 and 191,300

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Solution

The third proportional to 133,085 and 191,300 is: 274,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,085 : 191,300 = 191,300 : x
  2. Step 2: Convert to fraction form
    133,085/191,300 = 191,300/x
  3. Step 3: Cross multiply
    133,085x = 191,300 × 191,300
  4. Step 4: Simplify right side
    133,085x = 36,595,690,000
  5. Step 5: Solve for x
    x = 36,595,690,000/133,085
  6. Step 6: Final answer
    x = 274,979.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.