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Finding the Third Proportional to 126,080 and 191,740

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Solution

The third proportional to 126,080 and 191,740 is: 291,594.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,080 : 191,740 = 191,740 : x
  2. Step 2: Convert to fraction form
    126,080/191,740 = 191,740/x
  3. Step 3: Cross multiply
    126,080x = 191,740 × 191,740
  4. Step 4: Simplify right side
    126,080x = 36,764,227,600
  5. Step 5: Solve for x
    x = 36,764,227,600/126,080
  6. Step 6: Final answer
    x = 291,594.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.