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Finding the Third Proportional to 76,050 and 100,926

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Solution

The third proportional to 76,050 and 100,926 is: 133,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,050 : 100,926 = 100,926 : x
  2. Step 2: Convert to fraction form
    76,050/100,926 = 100,926/x
  3. Step 3: Cross multiply
    76,050x = 100,926 × 100,926
  4. Step 4: Simplify right side
    76,050x = 10,186,057,476
  5. Step 5: Solve for x
    x = 10,186,057,476/76,050
  6. Step 6: Final answer
    x = 133,938.95

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.