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Finding the Third Proportional to 50,604.75 and 77,441.06

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Solution

The third proportional to 50,604.75 and 77,441.06 is: 118,509.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,604.75 : 77,441.06 = 77,441.06 : x
  2. Step 2: Convert to fraction form
    50,604.75/77,441.06 = 77,441.06/x
  3. Step 3: Cross multiply
    50,604.75x = 77,441.06 × 77,441.06
  4. Step 4: Simplify right side
    50,604.75x = 5,997,118,161.13
  5. Step 5: Solve for x
    x = 5,997,118,161.13/50,604.75
  6. Step 6: Final answer
    x = 118,509.00

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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.