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Finding the Third Proportional to 126,266.50 and 191,526

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Solution

The third proportional to 126,266.50 and 191,526 is: 290,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,266.50 : 191,526 = 191,526 : x
  2. Step 2: Convert to fraction form
    126,266.50/191,526 = 191,526/x
  3. Step 3: Cross multiply
    126,266.50x = 191,526 × 191,526
  4. Step 4: Simplify right side
    126,266.50x = 36,682,208,676
  5. Step 5: Solve for x
    x = 36,682,208,676/126,266.50
  6. Step 6: Final answer
    x = 290,514.18

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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.