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Finding the Third Proportional to 57,226.50 and 123,485.77

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Solution

The third proportional to 57,226.50 and 123,485.77 is: 266,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,226.50 : 123,485.77 = 123,485.77 : x
  2. Step 2: Convert to fraction form
    57,226.50/123,485.77 = 123,485.77/x
  3. Step 3: Cross multiply
    57,226.50x = 123,485.77 × 123,485.77
  4. Step 4: Simplify right side
    57,226.50x = 15,248,734,311.99
  5. Step 5: Solve for x
    x = 15,248,734,311.99/57,226.50
  6. Step 6: Final answer
    x = 266,462.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.