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Finding the Third Proportional to 126,167.63 and 280,103.06

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Solution

The third proportional to 126,167.63 and 280,103.06 is: 621,853.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,167.63 : 280,103.06 = 280,103.06 : x
  2. Step 2: Convert to fraction form
    126,167.63/280,103.06 = 280,103.06/x
  3. Step 3: Cross multiply
    126,167.63x = 280,103.06 × 280,103.06
  4. Step 4: Simplify right side
    126,167.63x = 78,457,725,621.88
  5. Step 5: Solve for x
    x = 78,457,725,621.88/126,167.63
  6. Step 6: Final answer
    x = 621,853.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.