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Finding the Third Proportional to 55,433 and 74,914

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Solution

The third proportional to 55,433 and 74,914 is: 101,241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,433 : 74,914 = 74,914 : x
  2. Step 2: Convert to fraction form
    55,433/74,914 = 74,914/x
  3. Step 3: Cross multiply
    55,433x = 74,914 × 74,914
  4. Step 4: Simplify right side
    55,433x = 5,612,107,396
  5. Step 5: Solve for x
    x = 5,612,107,396/55,433
  6. Step 6: Final answer
    x = 101,241.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.