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Finding the Third Proportional to 126,435.94 and 187,731.74

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Solution

The third proportional to 126,435.94 and 187,731.74 is: 278,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,435.94 : 187,731.74 = 187,731.74 : x
  2. Step 2: Convert to fraction form
    126,435.94/187,731.74 = 187,731.74/x
  3. Step 3: Cross multiply
    126,435.94x = 187,731.74 × 187,731.74
  4. Step 4: Simplify right side
    126,435.94x = 35,243,205,558.10
  5. Step 5: Solve for x
    x = 35,243,205,558.10/126,435.94
  6. Step 6: Final answer
    x = 278,743.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.