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Finding the Third Proportional to 50,314.50 and 77,658.75

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Solution

The third proportional to 50,314.50 and 77,658.75 is: 119,863.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,314.50 : 77,658.75 = 77,658.75 : x
  2. Step 2: Convert to fraction form
    50,314.50/77,658.75 = 77,658.75/x
  3. Step 3: Cross multiply
    50,314.50x = 77,658.75 × 77,658.75
  4. Step 4: Simplify right side
    50,314.50x = 6,030,881,451.56
  5. Step 5: Solve for x
    x = 6,030,881,451.56/50,314.50
  6. Step 6: Final answer
    x = 119,863.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.