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Finding the Third Proportional to 44,126 and 67,343

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Solution

The third proportional to 44,126 and 67,343 is: 102,775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,126 : 67,343 = 67,343 : x
  2. Step 2: Convert to fraction form
    44,126/67,343 = 67,343/x
  3. Step 3: Cross multiply
    44,126x = 67,343 × 67,343
  4. Step 4: Simplify right side
    44,126x = 4,535,079,649
  5. Step 5: Solve for x
    x = 4,535,079,649/44,126
  6. Step 6: Final answer
    x = 102,775.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.