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Finding the Third Proportional to 77,710.50 and 122,082.75

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Solution

The third proportional to 77,710.50 and 122,082.75 is: 191,791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,710.50 : 122,082.75 = 122,082.75 : x
  2. Step 2: Convert to fraction form
    77,710.50/122,082.75 = 122,082.75/x
  3. Step 3: Cross multiply
    77,710.50x = 122,082.75 × 122,082.75
  4. Step 4: Simplify right side
    77,710.50x = 14,904,197,847.56
  5. Step 5: Solve for x
    x = 14,904,197,847.56/77,710.50
  6. Step 6: Final answer
    x = 191,791.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.