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Finding the Third Proportional to 74,014 and 100,328

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Solution

The third proportional to 74,014 and 100,328 is: 135,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,014 : 100,328 = 100,328 : x
  2. Step 2: Convert to fraction form
    74,014/100,328 = 100,328/x
  3. Step 3: Cross multiply
    74,014x = 100,328 × 100,328
  4. Step 4: Simplify right side
    74,014x = 10,065,707,584
  5. Step 5: Solve for x
    x = 10,065,707,584/74,014
  6. Step 6: Final answer
    x = 135,997.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.