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Finding the Third Proportional to 132,057 and 198,713.25

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Solution

The third proportional to 132,057 and 198,713.25 is: 299,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,057 : 198,713.25 = 198,713.25 : x
  2. Step 2: Convert to fraction form
    132,057/198,713.25 = 198,713.25/x
  3. Step 3: Cross multiply
    132,057x = 198,713.25 × 198,713.25
  4. Step 4: Simplify right side
    132,057x = 39,486,955,725.56
  5. Step 5: Solve for x
    x = 39,486,955,725.56/132,057
  6. Step 6: Final answer
    x = 299,014.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.