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Finding the Third Proportional to 123,658.88 and 185,406.75

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Solution

The third proportional to 123,658.88 and 185,406.75 is: 277,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,658.88 : 185,406.75 = 185,406.75 : x
  2. Step 2: Convert to fraction form
    123,658.88/185,406.75 = 185,406.75/x
  3. Step 3: Cross multiply
    123,658.88x = 185,406.75 × 185,406.75
  4. Step 4: Simplify right side
    123,658.88x = 34,375,662,945.56
  5. Step 5: Solve for x
    x = 34,375,662,945.56/123,658.88
  6. Step 6: Final answer
    x = 277,987.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.