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Finding the Third Proportional to 74,157.24 and 114,791.87

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Solution

The third proportional to 74,157.24 and 114,791.87 is: 177,692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,157.24 : 114,791.87 = 114,791.87 : x
  2. Step 2: Convert to fraction form
    74,157.24/114,791.87 = 114,791.87/x
  3. Step 3: Cross multiply
    74,157.24x = 114,791.87 × 114,791.87
  4. Step 4: Simplify right side
    74,157.24x = 13,177,173,669.20
  5. Step 5: Solve for x
    x = 13,177,173,669.20/74,157.24
  6. Step 6: Final answer
    x = 177,692.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.