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Finding the Third Proportional to 74,424 and 101,062

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Solution

The third proportional to 74,424 and 101,062 is: 137,234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,424 : 101,062 = 101,062 : x
  2. Step 2: Convert to fraction form
    74,424/101,062 = 101,062/x
  3. Step 3: Cross multiply
    74,424x = 101,062 × 101,062
  4. Step 4: Simplify right side
    74,424x = 10,213,527,844
  5. Step 5: Solve for x
    x = 10,213,527,844/74,424
  6. Step 6: Final answer
    x = 137,234.33

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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.