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Finding the Third Proportional to 103,725.50 and 211,259

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Solution

The third proportional to 103,725.50 and 211,259 is: 430,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,725.50 : 211,259 = 211,259 : x
  2. Step 2: Convert to fraction form
    103,725.50/211,259 = 211,259/x
  3. Step 3: Cross multiply
    103,725.50x = 211,259 × 211,259
  4. Step 4: Simplify right side
    103,725.50x = 44,630,365,081
  5. Step 5: Solve for x
    x = 44,630,365,081/103,725.50
  6. Step 6: Final answer
    x = 430,273.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.