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Finding the Third Proportional to 122,236.59 and 194,502.52

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Solution

The third proportional to 122,236.59 and 194,502.52 is: 309,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,236.59 : 194,502.52 = 194,502.52 : x
  2. Step 2: Convert to fraction form
    122,236.59/194,502.52 = 194,502.52/x
  3. Step 3: Cross multiply
    122,236.59x = 194,502.52 × 194,502.52
  4. Step 4: Simplify right side
    122,236.59x = 37,831,228,584.45
  5. Step 5: Solve for x
    x = 37,831,228,584.45/122,236.59
  6. Step 6: Final answer
    x = 309,491.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.