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Finding the Third Proportional to 43,268 and 63,259

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Solution

The third proportional to 43,268 and 63,259 is: 92,486.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,268 : 63,259 = 63,259 : x
  2. Step 2: Convert to fraction form
    43,268/63,259 = 63,259/x
  3. Step 3: Cross multiply
    43,268x = 63,259 × 63,259
  4. Step 4: Simplify right side
    43,268x = 4,001,701,081
  5. Step 5: Solve for x
    x = 4,001,701,081/43,268
  6. Step 6: Final answer
    x = 92,486.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.