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Finding the Third Proportional to 50,361.75 and 78,337.13

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Solution

The third proportional to 50,361.75 and 78,337.13 is: 121,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,361.75 : 78,337.13 = 78,337.13 : x
  2. Step 2: Convert to fraction form
    50,361.75/78,337.13 = 78,337.13/x
  3. Step 3: Cross multiply
    50,361.75x = 78,337.13 × 78,337.13
  4. Step 4: Simplify right side
    50,361.75x = 6,136,705,153.27
  5. Step 5: Solve for x
    x = 6,136,705,153.27/50,361.75
  6. Step 6: Final answer
    x = 121,852.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.