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Finding the Third Proportional to 133,742.25 and 207,754.88

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Solution

The third proportional to 133,742.25 and 207,754.88 is: 322,725.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,742.25 : 207,754.88 = 207,754.88 : x
  2. Step 2: Convert to fraction form
    133,742.25/207,754.88 = 207,754.88/x
  3. Step 3: Cross multiply
    133,742.25x = 207,754.88 × 207,754.88
  4. Step 4: Simplify right side
    133,742.25x = 43,162,088,086.27
  5. Step 5: Solve for x
    x = 43,162,088,086.27/133,742.25
  6. Step 6: Final answer
    x = 322,725.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.