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Finding the Third Proportional to 50,411.63 and 77,379.75

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Solution

The third proportional to 50,411.63 and 77,379.75 is: 118,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,411.63 : 77,379.75 = 77,379.75 : x
  2. Step 2: Convert to fraction form
    50,411.63/77,379.75 = 77,379.75/x
  3. Step 3: Cross multiply
    50,411.63x = 77,379.75 × 77,379.75
  4. Step 4: Simplify right side
    50,411.63x = 5,987,625,710.06
  5. Step 5: Solve for x
    x = 5,987,625,710.06/50,411.63
  6. Step 6: Final answer
    x = 118,774.70

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.