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Finding the Third Proportional to 50,530.50 and 77,334.75

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Solution

The third proportional to 50,530.50 and 77,334.75 is: 118,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,530.50 : 77,334.75 = 77,334.75 : x
  2. Step 2: Convert to fraction form
    50,530.50/77,334.75 = 77,334.75/x
  3. Step 3: Cross multiply
    50,530.50x = 77,334.75 × 77,334.75
  4. Step 4: Simplify right side
    50,530.50x = 5,980,663,557.56
  5. Step 5: Solve for x
    x = 5,980,663,557.56/50,530.50
  6. Step 6: Final answer
    x = 118,357.50

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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.