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Finding the Third Proportional to 118,959 and 163,120.50

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Solution

The third proportional to 118,959 and 163,120.50 is: 223,676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,959 : 163,120.50 = 163,120.50 : x
  2. Step 2: Convert to fraction form
    118,959/163,120.50 = 163,120.50/x
  3. Step 3: Cross multiply
    118,959x = 163,120.50 × 163,120.50
  4. Step 4: Simplify right side
    118,959x = 26,608,297,520.25
  5. Step 5: Solve for x
    x = 26,608,297,520.25/118,959
  6. Step 6: Final answer
    x = 223,676.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.