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Finding the Third Proportional to 63,926 and 100,282

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Solution

The third proportional to 63,926 and 100,282 is: 157,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,926 : 100,282 = 100,282 : x
  2. Step 2: Convert to fraction form
    63,926/100,282 = 100,282/x
  3. Step 3: Cross multiply
    63,926x = 100,282 × 100,282
  4. Step 4: Simplify right side
    63,926x = 10,056,479,524
  5. Step 5: Solve for x
    x = 10,056,479,524/63,926
  6. Step 6: Final answer
    x = 157,314.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.