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Finding the Third Proportional to 50,235.75 and 77,784.75

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Solution

The third proportional to 50,235.75 and 77,784.75 is: 120,441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,235.75 : 77,784.75 = 77,784.75 : x
  2. Step 2: Convert to fraction form
    50,235.75/77,784.75 = 77,784.75/x
  3. Step 3: Cross multiply
    50,235.75x = 77,784.75 × 77,784.75
  4. Step 4: Simplify right side
    50,235.75x = 6,050,467,332.56
  5. Step 5: Solve for x
    x = 6,050,467,332.56/50,235.75
  6. Step 6: Final answer
    x = 120,441.47

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