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Finding the Third Proportional to 133,080 and 191,296

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Solution

The third proportional to 133,080 and 191,296 is: 274,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,080 : 191,296 = 191,296 : x
  2. Step 2: Convert to fraction form
    133,080/191,296 = 191,296/x
  3. Step 3: Cross multiply
    133,080x = 191,296 × 191,296
  4. Step 4: Simplify right side
    133,080x = 36,594,159,616
  5. Step 5: Solve for x
    x = 36,594,159,616/133,080
  6. Step 6: Final answer
    x = 274,978.66

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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.