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Finding the Third Proportional to 122,924.81 and 189,846.56

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Solution

The third proportional to 122,924.81 and 189,846.56 is: 293,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,924.81 : 189,846.56 = 189,846.56 : x
  2. Step 2: Convert to fraction form
    122,924.81/189,846.56 = 189,846.56/x
  3. Step 3: Cross multiply
    122,924.81x = 189,846.56 × 189,846.56
  4. Step 4: Simplify right side
    122,924.81x = 36,041,717,293.07
  5. Step 5: Solve for x
    x = 36,041,717,293.07/122,924.81
  6. Step 6: Final answer
    x = 293,201.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.