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Finding the Third Proportional to 42,249 and 79,174.50

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Solution

The third proportional to 42,249 and 79,174.50 is: 148,372.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,249 : 79,174.50 = 79,174.50 : x
  2. Step 2: Convert to fraction form
    42,249/79,174.50 = 79,174.50/x
  3. Step 3: Cross multiply
    42,249x = 79,174.50 × 79,174.50
  4. Step 4: Simplify right side
    42,249x = 6,268,601,450.25
  5. Step 5: Solve for x
    x = 6,268,601,450.25/42,249
  6. Step 6: Final answer
    x = 148,372.78

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.